Stability Analysis of SEIRS Epidemic Model with Nonlinear Incidence Rate Function

被引：13

作者：

Shao, Pengcheng ^{[1
]}

Shateyi, Stanford ^{[2
]}

机构：

[1] Linyi Univ, Feixian Campus, Linyi 276000, Shandong, Peoples R China

[2] Univ Venda, Dept Math, Private Bag X5050, ZA-0950 Thohoyandou, South Africa

来源：

MATHEMATICS | 2021年 / 9卷 / 21期

关键词：

global stability; SEIRS; dynamical systems; Volterra-Lyapunov stability; GLOBAL STABILITY; DYNAMICS;

D O I：

10.3390/math9212644

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper addresses the global stability analysis of the SEIRS epidemic model with a nonlinear incidence rate function according to the Lyapunov functions and Volterra-Lyapunov matrices. By creating special conditions and using the properties of Volterra-Lyapunov matrices, it is possible to recognize the stability of the endemic equilibrium (E1) for the SEIRS model. Numerical results are used to verify the presented analysis.

引用

页数：15

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