Dynamics of a stochastic staged progression model of HIV transmission with a hybrid switch. (English) Zbl 1487.92048
Summary: In this paper, we investigate the dynamics behavior of stochastic hybrid switching staged progression model for the transmission of HIV. The method used in this paper is Lyapunov functions analysis. We establish sufficient conditions for extinction of disease. Especially, we conclude that there is a stationary distribution for the stochastic system and it has ergodicity under appropriate conditions. Finally, some examples and their simulations are provided to illustrate the theoretical results.
MSC:
| 92D30 | Epidemiology |
| 92C60 | Medical epidemiology |
| 60H30 | Applications of stochastic analysis (to PDEs, etc.) |
Keywords:
stochastic staged progression infectious disease models; Lyapunov function; extinction; ergodicity; hybrid switchingReferences:
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