Acta mathematica scientia,Series A ›› 2019, Vol. 39 ›› Issue (1): 200-208.

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Bionomics Dynamic System for Epidemic Virus Transmission

Xianglin Han1(),Weigang Wang2,Jiaqi Mo3   

  1. 1 Qiuzhen School of Huzhou Teechers College, Zhejiang Huzhou 313000
    2 Department of Basic, Hefei Preschool Education College, Hefei 230011
    3 School of Mathematics & Statistics, Anhui Normal University, Anhui Wuhu 241003
  • Received:2017-10-08 Online:2019-02-26 Published:2019-03-12
  • Supported by:
    the NSFC(11771005);the Natural Science Foundation of Zhejiang Province(LY13A010005);the Natural Science Foundation of the Education Department of Anhui Province(KJ2017A901);the Education Science Programming Foundation of Anhui Province(JG10068)

Abstract:

A nonlinear dynamic system of the epidemic contagion transmission is studied by using the asymptotic theory in modern mathematical physics. Firstly, a dynamic model of the epidemic contagion transmission is established, which is a system of differential equation. Next, a set of functional analytic homotopic mapping is led. Then the solution of dynamic system model for a power series with a artificial parameter is substituted. Their asymptotic solutions of the dynamic system are solved successively. Finely, the importance of solution for the original dynamic model is related.

Key words: Dynamic system, Epidemic contagion model, HIV virus

CLC Number: 

  • N941.3
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