Crowd evacuation simulation method and system based on emotion infection dynamic evolution model

Abstract

The application discloses a kind of crowd evacuation simulation method and system based on emotional infection dynamic evolution model, which comprises the following steps: constructing emotional infection network based on strong relationship and weak relationship in physical space and information space respectively;Determine the emotional infection rules based on strong relationship and weak relationship in information-physical space;Based on emotional infection network and emotional infection rules, combined with mean field theory, construct emotional infection dynamic evolution model based on strong relationship and weak relationship in information-physical space;Solve the emotional infection dynamic evolution model by using finite difference method, and obtain the proportion of different state individuals in crowd evacuation process at any time.The present application is based on the emotional infection rules of strong relationship and weak relationship between individuals in information-physical space, and constructs emotional infection dynamic evolution model, which can truly reflect the dynamic changes of individual social relationship in the evacuation process, provide guidance for crowd evacuation, and assist in crowd evacuation.

Description

TECHNICAL FIELD

[0001] The present application belongs to the field of crowd evacuation simulation, and particularly relates to a crowd evacuation simulation method and system based on an emotion infection dynamic evolution model. BACKGROUND

[0002] With the rapid development of economy, the crowd density and mobility in public places are large, and when a large emergency or disaster occurs, crowd stampede accidents often occur, causing a large number of casualties and adverse social impacts. The use of crowd movement simulation to study the movement characteristics and laws of the crowd in an emergency can assist in establishing evacuation plans for personnel in emergency situations, reducing the occurrence of adverse events in group events, and being beneficial to crowd evacuation in emergency situations. Therefore, it is of great significance to study the simulation of crowd evacuation.

[0003] In the process of crowd evacuation in an emergency, individuals will not only maintain close contact with their relatives and friends, but also contact with other strangers. The former contact relationship is relatively continuous and stable, which is called strong relationship, and the latter contact relationship is relatively accidental and dynamic, which is called weak relationship. The two kinds of contact relationships also have different influences on the emotion infection of the crowd: the emotion infection of the crowd from the relatively fixed relationship people around relatives and friends may continue throughout the evacuation process; and the emotion infection of the crowd from the relatively dynamic relationship people around strangers is time-varying and may not continue throughout the evacuation process.

[0004] Most of the existing emotion infection models are based on the assumption that the relationship between individuals is unchanged, lack of analysis on the distinction between strong and weak relationships, and cannot accurately model the emotion infection of crowd evacuation. In addition, today's society is an information-physical society, and when an event occurs, panic emotions are not only spread in the physical space (i.e. physical society) (such as the accident site), but also spread in the information space (i.e. information society) (such as social networks). Since the contact relationship may exist in the same physical space or the same information space through social networks, it may also exist in the intersection of the two spaces, making the emotion infection of crowd evacuation more complex. The existing emotion infection models do not consider the above aspects, and cannot accurately simulate the crowd evacuation in an emergency. SUMMARY

[0005] To solve the above problems of the prior art, the present application provides a crowd evacuation simulation method and system based on an emotion infection dynamic evolution model, which is based on the emotion infection rules of strong and weak relationships between individuals in the information-physical space, constructs an emotion infection dynamic evolution model, more realistically simulates the emotion changes of individuals and the movement of the crowd in real life, and can truly reflect the dynamic changes of individual social relationships in the evacuation process, providing guidance for crowd evacuation and assisting crowd evacuation.

[0006] In a first aspect, the disclosure provides a crowd evacuation simulation method based on an emotional infection dynamic evolution model:

[0007] A crowd evacuation simulation method based on an emotional infection dynamic evolution model comprises:

[0008] An emotional infection network based on strong and weak relationships in physical and information spaces is constructed respectively;

[0009] Emotional infection rules based on strong and weak relationships in information-physical spaces are determined;

[0010] Based on the emotional infection network and the emotional infection rules, an emotional infection dynamic evolution model based on strong and weak relationships in information-physical spaces is constructed in combination with the mean field theory;

[0011] The finite difference method is used to solve the emotional infection dynamic evolution model to obtain the proportion of individuals in different states in the crowd evacuation process at any time.

[0012] In further technical solutions, the states of individuals in the physical and information spaces include infected, susceptible, active susceptible, and temporary immune states.

[0013] In further technical solutions, the emotional infection rules include information space emotional infection rules, physical space emotional infection rules, and information space and physical space cross-emotional infection rules.

[0014] In further technical solutions, the emotional infection dynamic evolution model based on strong and weak relationships in information-physical spaces is constructed, comprising:

[0015] Based on the emotional infection network and the emotional infection rules, the number changes of infected, susceptible, active susceptible, and temporary immune individuals in the physical and information spaces are determined;

[0016] According to the number changes of the infected, susceptible, active susceptible, and temporary immune individuals per unit time, the mean field equation is determined in combination with the mean field theory to establish the emotional infection dynamic evolution model of the interaction between the information space and the physical space.

[0017] In further technical solutions, the number change of the infected individual W I (t) in the physical space is represented as:

[0018]

[0019] The number change of the susceptible individual W S (t) in the physical space is represented as:

[0020]

[0021] Active and susceptible individuals in physical space The change in quantity is expressed as:

[0022]

[0023] Temporarily immune individuals W in physical space R The change in quantity of (t) is expressed as:

[0024]

[0025] Among them, W S (t) represents the proportion of susceptible individuals in the population at time t. W represents the proportion of active susceptible individuals in the population at time t. I W(t) represents the proportion of infected individuals in the population at time t. R (t) represents the proportion of temporarily immune individuals in the population at time t. <k p > indicates the average degree of strong relationships among people in physical space. <k c > represents the average degree of strong ties among people in the information space, λ p Let λ be the probability of an individual in physical space transitioning from a susceptible state to an infected state. c a represents the probability of an individual in the information space transitioning from a susceptible state to an infected state. p a represents the probability of an individual in physical space transitioning from an active susceptible state to an infected state. c μ represents the probability of an individual in the information space transitioning from an active susceptible state to an infected state. p The probability of a physical individual recovering from an infected state to a state of temporary immunity. The probability that an individual infected in physical space will recover to be a susceptible individual. The probability that an individual infected in physical space will recover to become an active, susceptible individual.

[0026] Further technical solutions for infecting individual X in cyberspace I The change in quantity (t) at time Δt is expressed as:

[0027]

[0028] Susceptible individual X in the information space S The change in quantity (t) at time Δt is expressed as:

[0029]

[0030] Active and vulnerable individuals in the information space The change in quantity at time Δt is expressed as:

[0031]

[0032] Temporarily immune individual X in information space R The change in quantity (t) at time Δt is expressed as:

[0033]

[0034] Among them, X S (t) represents the proportion of susceptible individuals in the population at time t. X represents the proportion of active susceptible individuals in the population at time t. I (t) represents the proportion of infected individuals in the population at time t, X R (t) represents the proportion of temporarily immune individuals in the population at time t. <k p > indicates the average degree of strong relationships among people in physical space. <k c > represents the average degree of strong ties among people in the information space, λ p Let λ be the probability of an individual in physical space transitioning from a susceptible state to an infected state. c a represents the probability of an individual in the information space transitioning from a susceptible state to an infected state. p a represents the probability of an individual in physical space transitioning from an active susceptible state to an infected state. c μ represents the probability of an individual in the information space transitioning from an active susceptible state to an infected state. c The probability of a person in the information space recovering from an infected state to a temporary immune state. The probability that an individual infected in the information space will recover to be a susceptible individual. The probability that an individual infected in the information space will recover to become an active, susceptible individual.

[0035] A further technical solution employs the finite difference method to solve the dynamic evolution model of emotional contagion, obtaining the proportion of individuals in different states during the crowd evacuation process at any given time. Specifically, this includes: using the finite difference method to numerically solve the dynamic evolution model of emotional contagion based on strong and weak relationships in the information-physical space, obtaining the changes in the number of infected individuals, susceptible individuals, active susceptible individuals, and temporarily immune individuals in the model over time, and obtaining the proportion of individuals in different states during the crowd evacuation process at any given time.

[0036] Secondly, this disclosure provides a crowd evacuation simulation system based on a dynamic evolution model of emotional contagion, including:

[0037] The Emotion Contagion Network Building Module is used to construct emotion contagion networks based on strong and weak ties in both physical and information spaces.

[0038] An emotion contagion rule construction module is used to determine emotion contagion rules based on strong and weak relationships in the information-physical space; the emotion contagion rules include information space emotion contagion rules, physical space emotion contagion rules, and cross-information space and physical space emotion contagion rules;

[0039] The model building module is used to construct a dynamic evolution model of emotion contagion based on strong and weak ties in the information-physical space, based on emotion contagion networks and rules, combined with mean-field theory.

[0040] The simulation module is used to solve the dynamic evolution model of emotional contagion using the finite difference method, and obtain the proportion of individuals in different states during the crowd evacuation process at any time.

[0041] Thirdly, this disclosure also provides an electronic device, including a memory and a processor, and computer instructions stored in the memory and running on the processor, wherein the computer instructions, when executed by the processor, perform the steps of the method described in the first aspect.

[0042] Fourthly, this disclosure also provides a computer-readable storage medium for storing computer instructions, which, when executed by a processor, perform the steps of the method described in the first aspect.

[0043] The above one or more technical solutions have the following beneficial effects:

[0044] 1. This invention provides a crowd evacuation simulation method and system based on an emotional infection dynamic evolution model. Based on the emotional infection rules of strong and weak relationships between individuals in the cyber-physical space, an emotional infection dynamic evolution model is constructed to more realistically simulate individual emotional changes and crowd movement in real life. It can realistically reflect the dynamic changes in individual social relationships during the evacuation process, provide guidance for crowd evacuation, and assist in crowd evacuation.

[0045] 2. This disclosure comprehensively considers the influence of strong and weak ties in the cyber-physical society, and studies the process of emotional contagion in crowds, accurately simulating the process of emotional contagion during crowd evacuation. Attached Figure Description

[0046] The accompanying drawings, which form part of this invention, are used to provide a further understanding of the invention. The illustrative embodiments of the invention and their descriptions are used to explain the invention and do not constitute an improper limitation of the invention.

[0047] Figure 1 This is an overall flowchart of the crowd evacuation simulation method based on the dynamic evolution model of emotional contagion described in Embodiment 1 of the present invention;

[0048] Figure 2This is a schematic diagram of the emotion contagion rules in Embodiment 1 of the present invention. Detailed Implementation

[0049] It should be noted that the following detailed descriptions are exemplary and intended to provide further illustration of the invention. Unless otherwise specified, all technical and scientific terms used herein have the same meaning as commonly understood by one of ordinary skill in the art to which this invention pertains.

[0050] It should also be understood that terms such as those defined in general dictionaries should be understood to have meanings consistent with their meanings in the context of the prior art, and should not be interpreted in an idealized or overly formal sense unless defined as here.

[0051] Those skilled in the art will understand that, unless specifically stated otherwise, the singular forms “a,” “the,” and “the” used herein may also include the plural forms. It should be further understood that the term “comprising” as used in this specification means the presence of the stated features, integers, steps, operations, elements, and / or components, but does not exclude the presence or addition of one or more other features, integers, steps, operations, elements, and / or groups thereof.

[0052] In the description of this specification, references to terms such as "one embodiment," "some embodiments," "example," "specific example," or "some examples," etc., indicate that a specific feature, structure, material, or characteristic described in connection with that embodiment or example is included in at least one embodiment or example of the present invention. Furthermore, the specific features, structures, materials, or characteristics described may be combined in any suitable manner in one or more embodiments or examples. Moreover, without contradiction, those skilled in the art can combine and integrate the different embodiments or examples described in this specification, as well as the features of those different embodiments or examples.

[0053] To facilitate understanding of the present invention, the present invention will be further explained and described below with reference to the accompanying drawings and specific embodiments. However, the specific embodiments do not constitute a limitation on the embodiments of the present invention.

[0054] Those skilled in the art should understand that the accompanying drawings are merely schematic diagrams of embodiments, and the components in the drawings are not necessarily essential for implementing the present invention.

[0055] Example 1

[0056] This embodiment provides a crowd evacuation simulation method based on a dynamic evolution model of emotional contagion, such as... Figure 1 As shown, it includes:

[0057] Emotional contagion networks based on strong and weak ties are constructed in both physical and information spaces; the states of individuals in both physical and information spaces include infected state, susceptible state, active susceptible state, and temporary immune state.

[0058] Determine the emotion contagion rules based on strong and weak ties in the information-physical space; the emotion contagion rules include information space emotion contagion rules, physical space emotion contagion rules, and cross-information space and physical space emotion contagion rules;

[0059] Based on emotion contagion networks and rules, and combined with mean-field theory, a dynamic evolution model of emotion contagion based on strong and weak ties in cyber-physical space is constructed.

[0060] The finite difference method is used to solve the dynamic evolution model of emotional contagion, and the proportion of individuals in different states during the crowd evacuation process at any time is obtained.

[0061] First, emotion contagion networks based on strong and weak ties are constructed in both physical and information spaces. In this embodiment, strong and weak ties within a crowd are considered separately. Strong ties remain unchanged during crowd movement, constituting fixed relationships, while weak ties within the crowd are constantly changing. To describe these changing weak ties, an activity rate is introduced.

[0062] Among them, the activity rate of individuals with weak physical ties is expressed as:

[0063] a c =1-e -θρ(t)

[0064] Where θ represents the weighting coefficient of the influence of density on the activity rate, and ρ(t) is the population density in the physical space. This density is a time-dependent function, which can be obtained by averaging the population density monitoring values ​​over a period of time.

[0065] The activity rate of individuals with weak ties in the information space is expressed as:

[0066] a p =1-e -ηw(t)

[0067] Where η represents the weighting coefficient of the influence of density on the activity rate, and ω(t) is the average degree of weak ties between individuals in the information space, which can be obtained by averaging the monitored values ​​of individual degrees over a period of time.

[0068] Based on the representation of strong and weak ties in the aforementioned population, this embodiment uses Graph G. p =(V p E p Z pThis represents a physical space-based emotion contagion network. Among them, V... p E represents an individual in physical space. p Z represents the connection between individuals in physical space. p Represents the attributes of an individual in physical space, and

[0069] Where State(i,t)=(WI,WS,WAS,WR) is the state of individual i in the physical space at time t, where WI indicates that the individual is in an infected state in the physical space, WS indicates that the individual is in a susceptible state in the physical space, WAS indicates that the individual is in an actively susceptible state in the physical space, and WR indicates that the individual is in a temporarily immune state in the physical space; λ p μ represents the probability of an individual in physical space transitioning from a susceptible state to an infected state. p The probability of a physical individual recovering from an infected state to a state of temporary immunity. The probability that an individual in physical space recovers from a temporarily immune state to a susceptible state. Let a be the probability that an individual in physical space recovers from a temporary immune state to an active susceptible state. p This represents the probability of an individual in physical space transitioning from an active, susceptible state to an infected state.

[0070] Based on the representation of strong and weak ties in the aforementioned population, this embodiment uses Graph G. c =(V c E c Z c This indicates an emotion-infecting network in the information space. Among them, V... p E represents an individual in the information space. p Z represents the connections between individuals in the information space. c Represents the attributes of individuals in the information space, and Where State(i,t)=(XI,XS,XAS,XR) is the state of individual i in the information space at time t, XI represents that the individual is in an infected state in the information space, XS represents that the individual is in a susceptible state in the information space, XAS represents that the individual is in an actively susceptible state in the information space, and XR represents that the individual is temporarily immune in the information space; λ c μ represents the probability of an individual in the information space transitioning from a susceptible state to an infected state. c The probability of a person in the information space recovering from an infected state to a temporary immune state. The probability that an individual in the information space recovers from a temporarily immune state to a susceptible state. a represents the probability that an individual in the information space recovers from a temporary immune state to an active susceptible state. c This represents the probability of an individual in the information space transitioning from an active, susceptible state to an infected state.

[0071] Next, the rules for emotional contagion based on strong and weak ties in the information-physical space are determined. In this embodiment, individuals in an infected state are defined as infected individuals, individuals in a susceptible state are defined as susceptible individuals, individuals in an actively susceptible state are defined as actively susceptible individuals, and individuals in a temporarily immune state are defined as temporarily immune individuals.

[0072] The rules of emotional contagion are categorized into three types: emotional contagion in the information space, emotional contagion in the physical space, and cross-emotional contagion between the information and physical spaces. Regardless of whether it's the information space or the physical space, each individual may be in one of four states: infected state, susceptible state, actively susceptible state, and temporarily immune state. In this embodiment, as... Figure 2 As shown, the emotion contagion rules are divided into three categories: information space emotion contagion, physical space emotion contagion, and cross-information and cross-physical space emotion contagion rules.

[0073] The rules for emotional contagion in physical space are as follows: susceptible individuals in physical space use λ P Individuals with a probability of being infected by individuals in the physical space become infected individuals in the physical space; active susceptible individuals in the physical space use a P The probability of being infected by an individual in physical space becomes that of a physically infected individual; infected individuals in physical space have a probability of μ p The probability of being cured is that of a temporarily immune individual in physical space; temporarily immune individuals in physical space are... The probability of reverting to a susceptible individual in physical space; temporarily immune individuals in physical space... The probability is restored to an active and susceptible individual in the physical space.

[0074] The rules of emotional contagion in the information space are as follows: In the information space, susceptible individuals use λ... c Probability of being infected by infected individuals in the information space, thus becoming an infected individual in the information space; active susceptible individuals in the information space with a c The probability of being infected by an infected individual in the information space becomes an infected individual in the information space; infected individuals in the information space have a probability of μ c The probability of being cured is that of a temporarily immune individual in the information space; temporarily immune individuals in the information space include... The probability of reverting to a susceptible individual in the information space; temporarily immune individuals in the information space have The probability is restored to an active and susceptible individual in the information space.

[0075] The rules for cross-infection of emotions in information space and physical space are as follows: I indicates that a susceptible individual in physical space is infected by an infected individual in information space and becomes an infected individual in physical space; II indicates that an active susceptible individual in physical space is infected by an infected individual in information space and becomes an infected individual in physical space; III indicates that a susceptible individual in information space is infected by an infected individual in physical space and becomes an infected individual in information space; IV indicates that an active susceptible individual in information space is infected by an infected individual in physical space and becomes an infected individual in information space.

[0076] Then, based on the emotion contagion network and emotion contagion rules, and combined with mean field theory, a dynamic evolution model of emotion contagion based on strong and weak ties in the information-physical space is constructed.

[0077] In this embodiment, the change in the number of individuals in different states is used to describe the dynamic evolution model of emotion contagion based on strong and weak ties in the information-physical society. Based on the emotion contagion network and emotion contagion rules, the changes in the number of infected individuals, susceptible individuals, actively susceptible individuals, and temporarily immune individuals in the physical space and information space, respectively, are determined.

[0078] Infected individuals W in physical space I The change in quantity of (t) is expressed as:

[0079]

[0080] Among them, W S (t) represents the proportion of WS in the population at time t, that is, the proportion of susceptible individuals in the population at time t. W represents the proportion of WAS in the population at time t, that is, the proportion of active susceptible individuals in the population at time t. I (t) represents the proportion of WI in the population at time t, that is, the proportion of infected individuals in the population at time t. R (t) represents the proportion of WR in the population at time t, that is, the proportion of temporarily immune individuals in the population at time t. <k p > indicates the average degree of strong relationships among people in physical space.

[0081] In fact, the right side of the above equation consists of five terms. The first term represents a susceptible individual in physical space being infected by an infected individual in physical space and becoming an infected individual in physical space. The second term represents a susceptible individual in physical space being infected by an infected individual in information space and becoming an infected individual in physical space. The third term represents an active susceptible individual in physical space being infected by an infected individual in physical space and becoming an infected individual in physical space. The fourth term represents an active susceptible individual in physical space being infected by an infected individual in information space and becoming an infected individual in physical space. The fifth term represents an infected individual in physical space being cured and becoming a temporarily immune individual in physical space.

[0082] susceptible individuals W in physical space S The change in quantity of (t) is expressed as:

[0083]

[0084] The right side of the equation consists of three terms: the first term represents the physical space temporarily immune individual recovering to a physical space susceptible individual; the second term represents the physical space susceptible individual being infected by a physical space infected individual and becoming a physical space infected individual; and the third term represents the physical space susceptible individual being infected by an information space infected individual and becoming a physical space infected individual.

[0085] Active and susceptible individuals in physical space The change in quantity is expressed as:

[0086]

[0087] The right side of the equation consists of three terms: the first term represents the physical space temporarily immune individual recovering to a physical space active susceptible individual; the second term represents the physical space active susceptible individual being infected by a physical space infected individual and becoming an information space infected individual; and the third term represents the physical space active susceptible individual being infected by an information space infected individual and becoming an information space infected individual.

[0088] Temporarily immune individuals W in physical space R The change in quantity of (t) is expressed as:

[0089]

[0090] The right side of the equation consists of three terms: the first term represents the physical space infected individual being cured and becoming a physical space temporarily immune individual; the second term represents the physical space temporarily immune individual recovering to become a physical space active susceptible individual; and the third term represents the physical space temporarily immune individual recovering to become a physical space susceptible individual.

[0091] Similarly, in the information space, infected individual X I The change in quantity (t) at time Δt is expressed as:

[0092]

[0093] Among them, X S (t) represents the proportion of XS in the population at time t, that is, the proportion of susceptible individuals in the population at time t. X represents the proportion of XAS in the population at time t, that is, the proportion of active susceptible individuals in the population at time t. I (t) represents the proportion of XI in the population at time t, that is, the proportion of infected individuals in the population at time t. R(t) represents the proportion of XR in the population at time t, that is, the proportion of temporarily immune individuals in the population at time t. <k c > indicates the average degree of strong relationships among people in the information space.

[0094] In fact, the right side of the above equation consists of five terms. The first term represents a susceptible individual in the information space being infected by an infected individual in the information space, thus becoming an infected individual in the information space. The second term represents a susceptible individual in the information space being infected by an infected individual in the physical space, thus becoming an infected individual in the information space. The third term represents an active susceptible individual in the information space being infected by an infected individual in the information space, thus becoming an infected individual in the information space. The fourth term represents an active susceptible individual in the information space being infected by an infected individual in the physical space, thus becoming an infected individual in the information space. The fifth term represents an infected individual in the information space being cured and becoming a temporarily immune individual in the information space.

[0095] Susceptible individual X in the information space S The change in quantity (t) at time Δt is expressed as:

[0096]

[0097] The right side of the equation consists of three terms: the first term represents the recovery of an information space temporarily immune individual into an information space susceptible individual; the second term represents the infection of an information space susceptible individual by an information space infected individual; and the third term represents the infection of an information space susceptible individual by a physical space infected individual.

[0098] Active and vulnerable individuals in the information space The change in quantity at time Δt is expressed as:

[0099]

[0100] The right side of the equation consists of three terms: the first term represents the recovery of an information space temporarily immune individual into an information space active susceptible individual; the second term represents the infection of an information space active susceptible individual by an information space infected individual; and the third term represents the infection of an information space active susceptible individual by a physical space infected individual.

[0101] Temporarily immune individual X in information space R The change in quantity (t) at time Δt is expressed as:

[0102]

[0103] The right side of the equation consists of three terms: the first term represents an individual infected in the information space being cured and becoming a temporarily immune individual; the second term represents an individual temporarily immune in the information space recovering into an active susceptible individual; and the third term represents an individual temporarily immune in the information space recovering into a susceptible individual.

[0104] Based on the changes in the number of infected individuals, susceptible individuals, actively susceptible individuals, and temporarily immune individuals per unit time, and combined with mean-field theory, the mean-field equation for the dynamic evolution of emotional contagion is obtained:

[0105]

[0106]

[0107]

[0108]

[0109]

[0110]

[0111]

[0112]

[0113] The above scheme completes the construction of a dynamic evolution model of emotion contagion based on strong and weak ties in the cyber-physical space.

[0114] Finally, the finite difference method is used to solve the dynamic evolution model of emotion contagion, including: using the finite difference method to numerically solve the dynamic evolution model of emotion contagion based on strong and weak relations in the information-physical space, obtaining the changes in the number of infected individuals, susceptible individuals, active susceptible individuals and temporarily immune individuals in the model over time, and obtaining the proportion of individuals in different states (infected individuals, susceptible individuals, active susceptible individuals and temporarily immune individuals) during the crowd evacuation process at any time.

[0115] First, the dynamic evolution model of emotion contagion always satisfies the following constraints:

[0116]

[0117] Then, the numerical solutions for individuals in different states are obtained by using the finite difference method as follows:

[0118]

[0119]

[0120]

[0121]

[0122]

[0123]

[0124]

[0125]

[0126] Based on the above equations, given the initial conditions of individuals in different states at time t = 0, we can obtain the proportion of individuals in different states during the crowd evacuation process at time t + Δt.

[0127] This embodiment comprehensively considers the influence of strong and weak ties in the cyber-physical society, studies the process of emotional contagion in a crowd, and accurately simulates the process of emotional contagion during crowd evacuation.

[0128] Example 2

[0129] This embodiment provides a crowd evacuation simulation system based on a dynamic evolution model of emotional contagion, including:

[0130] The Emotion Contagion Network Building Module is used to construct emotion contagion networks based on strong and weak ties in both physical and information spaces.

[0131] An emotion contagion rule construction module is used to determine emotion contagion rules based on strong and weak relationships in the information-physical space; the emotion contagion rules include information space emotion contagion rules, physical space emotion contagion rules, and cross-information space and physical space emotion contagion rules;

[0132] The model building module is used to construct a dynamic evolution model of emotion contagion based on strong and weak ties in the information-physical space, based on emotion contagion networks and rules, combined with mean-field theory.

[0133] The simulation module is used to solve the dynamic evolution model of emotional contagion using the finite difference method, and obtain the proportion of individuals in different states during the crowd evacuation process at any time.

[0134] The crowd evacuation simulation method based on strong and weak ties in the cyber-physical society, using the aforementioned crowd evacuation simulation system based on the dynamic evolution model of emotion contagion, includes the following steps:

[0135] Step 1: Construct emotion contagion networks based on strong and weak ties in both physical and information spaces; the states of individuals in both physical and information spaces include infected state, susceptible state, active susceptible state, and temporary immune state.

[0136] Step 2: Determine the emotion contagion rules based on strong and weak ties in the information-physical space; the emotion contagion rules include information space emotion contagion rules, physical space emotion contagion rules, and cross-information space and physical space emotion contagion rules;

[0137] Step 3: Based on the emotion contagion network and emotion contagion rules, and combined with mean field theory, construct a dynamic evolution model of emotion contagion based on strong and weak ties in the cyber-physical space. This model is used to analyze the dynamic changes of individual emotions.

[0138] Step 4: Solve the dynamic evolution model of emotional contagion using the finite difference method to obtain the proportion of individuals in different states during the crowd evacuation process at any time. Based on the cross-platform simulation system and 3D real-time rendering platform developed by XNA technology, visualize the emotional contagion process and display the simulation effect more realistically and intuitively.

[0139] Example 3

[0140] This embodiment provides an electronic device, including a memory and a processor, as well as computer instructions stored in the memory and running on the processor. When the computer instructions are executed by the processor, they complete the steps in the crowd evacuation simulation method based on the dynamic evolution model of emotional infection as described above.

[0141] Example 4

[0142] This embodiment also provides a computer-readable storage medium for storing computer instructions, which, when executed by a processor, complete the steps in the crowd evacuation simulation method based on the dynamic evolution model of emotional infection as described above.

[0143] The steps and methods involved in Embodiments 2 to 4 above correspond to those in Embodiment 1. For specific implementation details, please refer to the relevant description section of Embodiment 1. The term "computer-readable storage medium" should be understood as a single medium or multiple media including one or more instruction sets; it should also be understood as including any medium capable of storing, encoding, or carrying an instruction set for execution by a processor and enabling the processor to perform any of the methods in this invention.

[0144] Those skilled in the art will understand that the modules or steps of the present invention described above can be implemented using general-purpose computer devices. Optionally, they can be implemented using computer-executable program code, thereby allowing them to be stored in a storage device for execution by a computer device, or they can be fabricated as separate integrated circuit modules, or multiple modules or steps can be fabricated as a single integrated circuit module. The present invention is not limited to any particular combination of hardware and software.

[0145] The above description is merely a preferred embodiment of the present invention and is not intended to limit the invention. Various modifications and variations can be made to the present invention by those skilled in the art. Any modifications, equivalent substitutions, improvements, etc., made within the spirit and principles of the present invention should be included within the scope of protection of the present invention.

[0146] While the specific embodiments of the present invention have been described above in conjunction with the accompanying drawings, this is not intended to limit the scope of protection of the present invention. Those skilled in the art should understand that various modifications or variations that can be made by those skilled in the art without creative effort based on the technical solutions of the present invention are still within the scope of protection of the present invention.

Claims

1. A crowd evacuation simulation method based on a dynamic evolution model of emotional contagion, characterized in that, include: Construct emotion contagion networks based on strong and weak ties in both physical and information spaces; Determine the rules of emotional contagion in physical space based on strong and weak ties; Based on emotion contagion networks and rules, and combined with mean-field theory, a dynamic evolution model of emotion contagion based on strong and weak ties in cyber-physical space is constructed. The finite difference method was used to solve the dynamic evolution model of emotional contagion, and the proportion of individuals in different states during the crowd evacuation process at any time was obtained. Constructing a dynamic evolution model of emotion contagion based on strong and weak ties in the cyber-physical space, including: Based on the emotion contagion network and emotion contagion rules, we determined the changes in the number of infected individuals, susceptible individuals, actively susceptible individuals, and temporarily immune individuals in physical and information spaces. Based on the changes in the number of infected individuals, susceptible individuals, active susceptible individuals, and temporarily immune individuals per unit time, and combined with mean-field theory, the mean-field equation is determined, and a dynamic evolution model of emotional infection interaction between information space and physical space is established. Among them, infected individuals in physical space The change in quantity is expressed as: ； Susceptible individuals in physical space The change in quantity is expressed as: ； Active and susceptible individuals in physical space The change in quantity is expressed as: ； Temporarily immune individuals in physical space The change in quantity is expressed as: ； in, express t The proportion of susceptible individuals in the population at any given time. express t The proportion of constantly active and susceptible individuals in the population. express t The proportion of infected individuals in the population at any given time. express t The proportion of individuals with temporary immunity in the population at any given time. This represents the average degree of strong relationships among people in a physical space. This represents the average degree of strong relationships among people in the information space. This represents the probability of an individual in physical space transitioning from a susceptible state to an infected state. The probability of an individual in the information space transitioning from a susceptible state to an infected state. This represents the probability of an individual in physical space transitioning from an active, susceptible state to an infected state. This represents the probability of an individual in the information space transitioning from an active, susceptible state to an infected state. The probability of a physical individual recovering from an infected state to a state of temporary immunity. The probability that an individual infected in physical space will recover to be a susceptible individual. The probability that an individual infected in physical space will recover to become an active, susceptible individual.

2. The crowd evacuation simulation method based on the dynamic evolution model of emotional contagion as described in claim 1, characterized in that, The emotion contagion rules include information space emotion contagion rules, physical space emotion contagion rules, and cross-information space and physical space emotion contagion rules.

3. The crowd evacuation simulation method based on the dynamic evolution model of emotional contagion as described in claim 1, characterized in that, Infected individuals in the information space exist The change in the quantity at time points is expressed as: ； Vulnerable individuals in the information space exist The change in the quantity at time points is expressed as: ； Active and vulnerable individuals in the information space exist The change in the quantity at time points is expressed as: ； Temporarily immune individuals in information space exist The change in the quantity at time points is expressed as: ； in, express t The proportion of susceptible individuals in the population at any given time. express t The proportion of constantly active and susceptible individuals in the population. express t The proportion of infected individuals in the population at any given time. express t The proportion of individuals with temporary immunity in the population at any given time. This represents the average degree of strong relationships among people in a physical space. This represents the average degree of strong relationships among people in the information space. This represents the probability of an individual in physical space transitioning from a susceptible state to an infected state. The probability of an individual in the information space transitioning from a susceptible state to an infected state. This represents the probability of an individual in physical space transitioning from an active, susceptible state to an infected state. This represents the probability of an individual in the information space transitioning from an active, susceptible state to an infected state. The probability of a person in the information space recovering from an infected state to a temporary immune state. The probability that an individual infected in the information space will recover to be a susceptible individual. The probability that an individual infected in the information space will recover to become an active, susceptible individual.

4. The crowd evacuation simulation method based on the dynamic evolution model of emotional contagion as described in claim 1, characterized in that, The finite difference method is used to solve the dynamic evolution model of emotional contagion, obtaining the proportion of individuals in different states during crowd evacuation at any given time, specifically including: The finite difference method is used to numerically solve the dynamic evolution model of emotion contagion based on strong and weak ties in the cyber-physical space. The changes in the number of infected individuals, susceptible individuals, active susceptible individuals and temporarily immune individuals over time are obtained, and the proportion of individuals in different states during the crowd evacuation process at any time is obtained.

5. A crowd evacuation simulation system based on a dynamic evolution model of emotional contagion, implementing the crowd evacuation simulation method based on a dynamic evolution model of emotional contagion as described in any one of claims 1-4, characterized in that, include: The Emotion Contagion Network Building Module is used to construct emotion contagion networks based on strong and weak ties in both physical and information spaces. An emotion contagion rule construction module is used to determine emotion contagion rules based on strong and weak relationships in the information-physical space; the emotion contagion rules include information space emotion contagion rules, physical space emotion contagion rules, and cross-information space and physical space emotion contagion rules; The model building module is used to construct a dynamic evolution model of emotion contagion based on strong and weak ties in the information-physical space, based on emotion contagion networks and rules, combined with mean-field theory. The simulation module is used to solve the dynamic evolution model of emotional contagion using the finite difference method, and obtain the proportion of individuals in different states during the crowd evacuation process at any time.

6. An electronic device, characterized in that, It includes a memory and a processor, as well as computer instructions stored in the memory and running on the processor, which, when executed by the processor, complete the steps of the crowd evacuation simulation method based on the dynamic evolution model of emotional infection as described in any one of claims 1-4.

7. A computer-readable storage medium, characterized in that, Used to store computer instructions, which, when executed by a processor, complete the steps of the crowd evacuation simulation method based on the dynamic evolution model of emotional infection as described in any one of claims 1-4.

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