Influenza vaccine injection strategy making method based on optimal control
An optimal control and flu vaccine technology, applied in medicine or prescriptions, epidemic warning systems, data processing applications, etc., can solve problems such as the decline in successful immunization rates, inability to supply enough vaccines, and achieve strong operability and the effect of feasibility
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[0035] The present invention will be further described below in conjunction with specific embodiments.
[0036] Considering a certain influenza epidemic, the mortality caused by influenza infection is a=0.2; the natural birth rate and natural mortality are b=0.525 and d=0.5 respectively; the probability of transforming from the incubation period to the infection period is e=0.5; from the infection period The probability of transforming into rehabilitation is g=0.1; the contact rate of seasonal changes is c(t)=0.001+0.0005cos(2πt); the successful immunization rate after vaccine injection is f(t)=exp(-t / 50 ); The production capacity of the vaccine is Ω(t)=1000-900exp(-t / 5). In the optimal control problem, the initial time and terminal time of control are respectively t 0 = 0 and t f =10; the weight of the number of infections relative to the consumption of the vaccine in the performance index is ε = 0.02; the susceptible, the incubation period of influenza, the symptomatic infected...
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