Global stability of multi-group SEIRS epidemic models with vaccination

Author:

Fan Dejun1,Hao Pengmiao1,Sun Dongyan1,Wei Junjie1

Affiliation:

1. Department of Mathematics, Harbin Institute of Technology (Weihai), Weihai Shandong 264209, P. R. China

Abstract

In this paper, a susceptible–exposed–infective–recovered–susceptible (SEIRS) epidemic model with vaccination has been formulated. We studied the global stability of the corresponding single-group model, multi-group model with strongly connected network and multi-group model without strongly connected network by means of analyzing their basic reproduction numbers and the application of Lyapunov functionals. Finally, we provide some numerical simulations to illustrate our analysis results.

Funder

National Natural Science Foundation of China

Weihai Science and Technology Development Plan Project

Shandong Provincial Natural Science Foundation of China

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modeling and Simulation

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1. Global stability of multi‐group SAIRS epidemic models;Mathematical Methods in the Applied Sciences;2023-04-27

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