Global stability of an SIR model with differential infectivity on complex networks

被引：17

作者：

Yuan, Xinpeng ^{[1
,2
]}

Wang, Fang ^{[3
]}

Xue, Yakui ^{[2
]}

Liu, Maoxing ^{[2
]}

机构：

[1] China Meteorol Adm, Chinese Acad Meteorol Sci, State Key Lab Severe Weather, Beijing 100081, Peoples R China

[2] North Univ China, Dept Math, Taiyuan 030051, Shanxi, Peoples R China

[3] Beijing Inst Technol, State Key Lab Explos Sci & Technol, Beijing 100081, Peoples R China

来源：

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2018年 / 499卷

基金：

中国国家自然科学基金;

关键词：

Differential infectivity; SIR model; Complex networks; Global stability; DISEASE TRANSMISSION; REPRODUCTIVE NUMBER; EPIDEMIC MODEL; DYNAMICS; SPREAD;

D O I：

10.1016/j.physa.2018.02.065

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper, an SIR model with birth and death on complex networks is analyzed, where infected individuals are divided into m groups according to their infection and contact between human is treated as a scale-free social network. We obtain the basic reproduction number R-0 as well as the effects of various immunization schemes. The results indicate that the disease-free equilibrium is locally and globally asymptotically stable in some conditions, otherwise disease-free equilibrium is unstable and exists an unique endemic equilibrium that is globally asymptotically stable. Our theoretical results are confirmed by numerical simulations and a promising way for infectious diseases control is suggested. (C) 2018 Elsevier B.V. All rights reserved.

引用

页码：443 / 456

页数：14

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