A DIFFUSIVE SVEIR EPIDEMIC MODEL WITH TIME DELAY AND GENERAL INCIDENCE

doi:10.1007/s10473-021-0421-9

Abstract

Abstract: In this paper, we consider a delayed diffusive SVEIR model with general incidence. We first establish the threshold dynamics of this model. Using a Nonstandard Finite Difference (NSFD) scheme, we then give the discretization of the continuous model. Applying Lyapunov functions, global stability of the equilibria are established. Numerical simulations are presented to validate the obtained results. The prolonged time delay can lead to the elimination of the infectiousness.

Key words: SVEIR model, vaccination, Lyapunov function, nonstandard finite difference method

CLC Number:

34F05

Jinling ZHOU, Xinsheng MA, Yu YANG, Tonghua ZHANG. A DIFFUSIVE SVEIR EPIDEMIC MODEL WITH TIME DELAY AND GENERAL INCIDENCE[J].Acta mathematica scientia,Series B, 2021, 41(4): 1385-1404.

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