A Diffusive Sveir Epidemic Model with Time Delay and General Incidence.

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 MaterialSupplementary material is available in the online version of this article at 10.1007/s10473-021-0421-9.