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

Acta Math Sci

Department of Mathematics, Swinburne University of Technology, Hawthorn, Victoria 3122 Australia.

Published: June 2021

Unlabelled: 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.

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Source
http://www.ncbi.nlm.nih.gov/pmc/articles/PMC8167310PMC
http://dx.doi.org/10.1007/s10473-021-0421-9DOI Listing

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