具有媒体报道的 SVIR 传染病模型的生存性分析

Abstract

Abstract:

We consider the long-term properties of a stochastic SVIR epidemic model with media coverage and the logistic growth in this paper. We firstly derive the fitness of a unique global positive solution. Then we construct appropriate Lyapunov functions and obtain the existence of ergodic stationary distribution when ${R}_{0}^{s}>1$ is valid, and also derive sufficient conditions for persistence in the mean. Moreover, the exponential extinction to the density of the infected is figured out when ${R}_{0}^{e}<1$ holds.

Key words: Epidemic model, Vaccination, Media coverage, Persistence and extinction, Stationary distribution

CLC Number:

O175.13

Li Dan,Wei Fengying,Mao Xuerong. Survival Analysis of an SVIR Epidemic Model with Media Coverage[J].Acta mathematica scientia,Series A, 2023, 43(5): 1595-1606.

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References 42

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Survival Analysis of an SVIR Epidemic Model with Media Coverage

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