A Diffusive Sveir Epidemic Model with Time Delay and General Incidence

Jinling Zhou; Xinsheng Ma; Yu Yang; Tonghua Zhang

doi:10.1007/s10473-021-0421-9

A Diffusive Sveir Epidemic Model with Time Delay and General Incidence

Acta Math Sci. 2021;41(4):1385-1404. doi: 10.1007/s10473-021-0421-9. Epub 2021 Jun 1.

Authors

Jinling Zhou¹, Xinsheng Ma¹, Yu Yang², Tonghua Zhang³

Affiliations

¹ Department of Mathematics, Zhejiang International Studies University, Hangzhou, 310023 China.
² School of Statistics and Mathematics, Shanghai Lixin University of Accounting and Finance, Shanghai, 201209 China.
³ Department of Mathematics, Swinburne University of Technology, Hawthorn, Victoria 3122 Australia.

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.

Electronic supplementary material: Supplementary material is available in the online version of this article at 10.1007/s10473-021-0421-9.

Keywords: Lyapunov function; SVEIR model; nonstandard finite difference method; vaccination.