一类具有接种和潜伏期的传染病模型及动力学分析

Abstract

Abstract:

In this paper, we propose and study a delayed SVEIR epidemic model with vaccination and saturation incidence. The existence and local stability of equilibria are addressed. By using Lyapunov functionals and Lyapunov-LaSalle invariance principle, it shows that if the basic reproduction number is less than or equal to one, the disease-free equilibrium is globally asymptotically stable and the disease will disappear; and if the basic reproduction number is greater than one, the endemic equilibrium is globally asymptotically stable and the disease will persist. Some numerical simulations are performed to illustrate our analytic results.

Key words: Vaccination, Latent period, Lyapunov functional, Globally asymptotically stable

CLC Number:

O175.1

Xinzhe Zhang,Guofeng He,Gang Huang. Dynamical Properties of a Delayed Epidemic Model with Vaccination and Saturation Incidence[J].Acta mathematica scientia,Series A, 2019, 39(5): 1247-1259.

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References 18

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Dynamical Properties of a Delayed Epidemic Model with Vaccination and Saturation Incidence

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