Liu M, Li Y. Dynamics analysis of an SVEIR epidemic model in a patchy environment.
MATHEMATICAL BIOSCIENCES AND ENGINEERING : MBE 2023;
20:16962-16977. [PMID:
37920042 DOI:
10.3934/mbe.2023756]
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Abstract
In this paper, we propose a multi-patch SVEIR epidemic model that incorporates vaccination of both newborns and susceptible populations. We determine the basic reproduction number $ R_{0} $ and prove that the disease-free equilibrium $ P_{0} $ is locally and globally asymptotically stable if $ R_{0} < 1, $ and it is unstable if $ R_{0} > 1. $ Moreover, we show that the disease is uniformly persistent in the population when $ R_{0} > 1. $ Numerical simulations indicate that vaccination strategies can effectively control disease spread in all patches while population migration can either intensify or prevent disease transmission within a patch.
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