Dynamics for an SIRS epidemic model with infection age and relapse on a scale-free network

被引：25

作者：

Huo, Hai-Feng ^{[1
]}

Yang, Peng ^{[1
]}

Xiang, Hong ^{[1
]}

机构：

[1] Lanzhou Univ Technol, Dept Appl Math, Lanzhou 730050, Gansu, Peoples R China

来源：

JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2019年 / 356卷 / 13期

关键词：

MATHEMATICAL-THEORY; GLOBAL STABILITY; ALCOHOLISM MODEL; ROYAL SOCIETY; DISEASE; DEMOGRAPHICS; ENDEMICITY; SEMIFLOWS;

D O I：

10.1016/j.jfranklin.2019.03.034

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

A new SIRS epidemic model with infection age and relapse on a scale-free network is introduced. The basic reproduction number R-0 is defined. Asymptotic smoothness of solution and uniform persistence of system are proved. It is shown that the disease-free equilibrium is globally asymptotically stable by using Fluctuation Lemma if R-0 < 1 and the endemic equilibrium is globally asymptotically stable by constructing suitable Lyapunov functional if R-0 > 1. Effects of two immunization schemes are studied. Numerical simulations and sensitivity analysis are performed. Results manifest that infection age and degree of node play a significant role in controlling the emergence and spread of the epidemic disease. (C) 2019 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.

引用

页码：7411 / 7443

页数：33

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