Dynamics of a Diffusive Multigroup SVIR Model with Nonlinear Incidence. (9th December 2020)

• Record Type: Journal Article
• Authors: Xu, Jinhu; Geng, Yan
• Other Names: Volchenkov Dimitri Academic Editor.
• Is Part Of: Complexity. Volume 2020(2020)
• Publication Date: 2020-12-09
• Subjects: Chaotic behavior in systems -- Periodicals; Complexity (Philosophy) -- Periodicals; 003
• DOI: 10.1155/2020/8847023
• Languages: English
• ISSNs: 1076-2787

Abstract

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 ℜ 0 is established and shown as a threshold: the disease-free steady state is globally asymptotically stable if ℜ 0 < 1, while the disease will be persistent when ℜ 0 > 1 . 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.