Dynamics of a Diffusive Multigroup SVIR Model with Nonlinear Incidence

Jinhu Xu and Yan Geng

Complexity, 2020, vol. 2020, 1-15

Abstract:

In this paper, a multigroup SVIR epidemic model with reaction-diffusion and nonlinear incidence is investigated. We first establish the well-posedness of the model. Then, the basic reproduction number is established and shown as a threshold: the disease-free steady state is globally asymptotically stable if , while the disease will be persistent when . Moreover, applying the classical method of Lyapunov and a recently developed graph-theoretic approach, we established the global stability of the endemic equilibria for a special case.

Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:hin:complx:8847023

DOI: 10.1155/2020/8847023

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