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

共 50 条

[21] Mathematical analysis of a generalized epidemic model with nonlinear incidence function [J].

O. M. Ogunmiloro ;

H. Kareem .

Beni-Suef University Journal of Basic and Applied Sciences, 10

[22] GLOBAL STABILITY OF A NETWORK-BASED SIS EPIDEMIC MODEL WITH A GENERAL NONLINEAR INCIDENCE RATE [J].

Huang, Shouying ;

Jiang, Jifa .

MATHEMATICAL BIOSCIENCES AND ENGINEERING, 2016, 13 (04) :723-739

[23] Global stability in a diffusive cholera epidemic model with nonlinear incidence [J].

Chen, Xiaodan ;

Cui, Renhao .

APPLIED MATHEMATICS LETTERS, 2021, 111

[24] Analysis of SEIR epidemic patch model with nonlinear incidence rate, vaccination and quarantine strategies [J].

Meng, Lan ;

Zhu, Wei .

MATHEMATICS AND COMPUTERS IN SIMULATION, 2022, 200 :489-503

[25] Stability Analysis of a Multigroup Epidemic Model with General Exposed Distribution and Nonlinear Incidence Rates [J].

Zhang, Ling ;

Pang, Jingmei ;

Wang, Jinliang .

ABSTRACT AND APPLIED ANALYSIS, 2013,

[26] On Global Stability Analysis for SEIR Models in Epidemiology with Nonlinear Incidence Rate Function [J].

Yang, Xiuxiang ;

Zheng, Lifei .

PROCEEDINGS OF THE 2015 INTERNATIONAL CONFERENCE ON COMPUTER SCIENCE AND ENGINEERING TECHNOLOGY (CSET2015), MEDICAL SCIENCE AND BIOLOGICAL ENGINEERING (MSBE2015), 2016, :348-354

[27] Global stability of an SEIQV epidemic model with general incidence rate [J].

Yang, Yu ;

Zhang, Cuimei ;

Jiang, Xunyan .

INTERNATIONAL JOURNAL OF BIOMATHEMATICS, 2015, 8 (02)

[28] ANALYSIS ON AN EPIDEMIC MODEL WITH A RATIO-DEPENDENT NONLINEAR INCIDENCE RATE [J].

Li, Bo ;

Yuan, Sanling ;

Zhang, Weiguo .

INTERNATIONAL JOURNAL OF BIOMATHEMATICS, 2011, 4 (02) :227-239

[29] Stability analysis of HIV/AIDS epidemic model with nonlinear incidence and treatment [J].

Jianwen Jia ;

Gailing Qin .

Advances in Difference Equations, 2017

[30] Stability analysis of HIV/AIDS epidemic model with nonlinear incidence and treatment [J].

Jia, Jianwen ;

Qin, Gailing .

ADVANCES IN DIFFERENCE EQUATIONS, 2017,

← 1 2 3 4 5 →