Stability Analysis of SEIRS Epidemic Model with Nonlinear Incidence Rate Function

被引：11
|
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.
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页数：15
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