Geometric ergodicity and D-limit set of an SIRm epidemic model with regime switching

被引：2
|
作者：
Lan, Guijie [1 ]
Yuan, Sanling [1 ]
机构：
[1] Univ Shanghai Sci & Technol, Shanghai 200093, Peoples R China
来源：
CHAOS SOLITONS & FRACTALS | 2023年 / 170卷
基金：
中国国家自然科学基金;
关键词：
Geometric ergodicity; D-limit set; SIRm epidemic model; Mobility; Regime switching; THRESHOLD DYNAMICS; KOLMOGOROV SYSTEMS; COMPETITIVE TYPE; BEHAVIOR; IMPACT;
D O I：
10.1016/j.chaos.2023.113302
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, a piecewise deterministic SIRm epidemic model with human mobility and regime switching is studied. First, we show that the epidemic threshold of the model can be represented by the basic reproduction number R0, that is, if R0 < 1, the epidemic will be eradicated almost surely, while if R0 > 1, the epidemic will continue to spread. Further, we study the ergodicity and the D-limit set of the model and discuss the relationship between the ergodicity and the D-limit set.
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收藏
页数：7
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