Han, Xianglin; Wang, Weigang; Mo, Jiaqi Bionomics dynamic system for epidemic virus transmission. (Chinese. English summary) Zbl 1438.34146 Acta Math. Sci., Ser. A, Chin. Ed. 39, No. 1, 200-208 (2019). 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. Keywords:dynamic system; epidemic contagion model; HIV virus PDF BibTeX XML Cite \textit{X. Han} et al., Acta Math. Sci., Ser. A, Chin. Ed. 39, No. 1, 200--208 (2019; Zbl 1438.34146) OpenURL