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Bionomics dynamic system for epidemic virus transmission. (Chinese. English summary) Zbl 1438.34146

Summary: 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 an artificial parameter is substituted. Their asymptotic solutions of the dynamic system are solved successively.

MSC:

34C60 Qualitative investigation and simulation of ordinary differential equation models
34D05 Asymptotic properties of solutions to ordinary differential equations
92D30 Epidemiology
92C60 Medical epidemiology
34A25 Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc.
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