Relaxation Oscillation and Canard Explosion for a SIRS Model with Nonlinear Incidence Rate

被引：0
|
作者：
Wang Xiaoling [1 ]
Li Shimin [2 ]
机构：
[1] Guangdong Univ Finance & Econ, Sch Math & Stat, 21 Luntou Rd, Guangzhou 510320, Peoples R China
[2] Hangzhou Normal Univ, Sch Math, 2318 Yuhangtang Rd, Hangzhou 310036, Peoples R China
来源：
QUALITATIVE THEORY OF DYNAMICAL SYSTEMS | 2022年 / 21卷 / 04期
关键词：
Geometry singular perturbation theory; Hopf bifurcation; Canard explosion; Relaxation oscillation; SIS EPIDEMIC MODEL; BEHAVIOR;
D O I：
10.1007/s12346-022-00663-1
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study a susceptible-infectious-recovered model with a nonlinear incidence rate. Assume that the infected individual has large immunity failure rate, then it becomes a slow-fast system. Using geometry singular perturbation theory, we revealed that it exhibits rich dynamics, such as supercritical Hopf bifurcation, canard explosion and relaxation oscillation.
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页数：19
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