Melnikov analysis of chaos in a simple SIR model with periodically or stochastically modulated nonlinear incidence rate

被引：3
作者：
Shi, Yanxiang [1 ]
机构：
[1] Shanxi Univ, Sch Math Sci, Taiyuan, Peoples R China
来源：
JOURNAL OF BIOLOGICAL DYNAMICS | 2020年 / 14卷 / 01期
基金：
中国国家自然科学基金;
关键词：
SIR model; Melnikov theorem; chaos; homoclinic orbit; EPIDEMIC MODEL; BOUNDED NOISE; SEASONAL DYNAMICS; DISEASE; BEHAVIOR; TRANSMISSION; BIFURCATION; MOTION;
D O I：
10.1080/17513758.2020.1718222
中图分类号：
Q14 [生态学（生物生态学）];
学科分类号：
071012 ; 0713 ;
摘要：
In this paper, Melnikov analysis of chaos in a simple SIR model with periodically or stochastically modulated nonlinear incidence rate and the effect of periodic and bounded noise on the chaotic motion of SIR model possessing homoclinic orbits are detailed investigated. Based on homoclinic bifurcation, necessary conditions for possible chaotic motion as well as sufficient condition are derived by the random Melnikov theorem, and to establish the threshold of bounded noise amplitude for the onset of chaos.
引用
收藏
页码：269 / 288
页数：20
相关论文
共 37 条
1234