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Population balance system and method based on Taylor expansion optimization

A population and balanced technology, applied in design optimization/simulation, instruments, calculation models, etc., can solve problems such as insufficient correctness of solution verification

Active Publication Date: 2021-08-10
HANGZHOU DIANZI UNIV
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  • Summary
  • Abstract
  • Description
  • Claims
  • Application Information

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Problems solved by technology

However, the existing technology has deficiencies in solving the ecological balance of the host and verifying the correctness

Method used

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  • Population balance system and method based on Taylor expansion optimization
  • Population balance system and method based on Taylor expansion optimization
  • Population balance system and method based on Taylor expansion optimization

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Experimental program
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Embodiment Construction

[0100] The purpose and advantages of the present invention will be more obvious through the detailed description of the following population quantity change diagram in conjunction with the accompanying drawings. In the figures, the parameter θ=0.65.

[0101] like Figure 1-3 As shown, in this embodiment, a population balance method based on Taylor expansion optimization, the specific steps are as follows:

[0102] Step 1, select the functional response function, and establish a mathematical model; specifically, mathematical modeling: in this mathematical model, the host is the victim, and the parasite is the beneficiary, so the general host-parasitic model is proposed as follows:

[0103]

[0104] Among them, X n is the population size of the nth generation host, Y n is the population number of the nth generation parasite, λ is the birth rate of the host (λ>1), That is, the probability that the host escapes the parasite. Substituting the functional reaction function i...

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Abstract

The invention discloses a population balance system and method based on Taylor expansion optimization, and the method comprises the following specific steps: 1, selecting a function reaction function, and building a mathematical model; 2, solving a balance point of the host and parasite species model; 3, drawing a circle by taking the balance point as a circle center to obtain a Taylor expansion; 4, solving the radius of the circle, and carrying out analysis and optimization; 5, obtaining a species balance region through a local asymptotic stability theorem. According to the method, a mathematical model related to the population number is established on the basis that hosts and parasites are in negative binomial distribution, the range, tending to ecological balance, of host-parasite populations is solved by applying a Taylor expansion optimization and local asymptotic stabilization method, and the correctness of the method is verified through numerical calculation.

Description

technical field [0001] The invention belongs to the field of biotechnology, and relates to a technical scheme for estimating the population of host-parasites. Specifically, through Taylor expansion optimization, the local asymptotic stability theorem is used to solve the range where the population tends to be ecologically balanced, and then through the numerical value The calculation verifies the correctness of the method. Background technique [0002] The interaction between animal populations is a major factor affecting the development of ecosystems. In ecological mathematics, models of single populations have been extensively studied, and models of interspecific interactions have yet to be explored, mainly including Lotka-Volterra interspecific competition and Nicholson Bailey (Nicholson-Bailey) interspecific parasitism and other models. Because the population quantity of the Nicholson-Bailey model changes unstable, if any one factor deviates, the entire ecosystem will ...

Claims

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G06F30/27G06N3/00G06F111/10
CPCG06F30/27G06N3/006G06F2111/10
Inventor 何美霖朱铭觉滕旭阳胡志蕊卢从慧
Owner HANGZHOU DIANZI UNIV