Threshold dynamics of SAIRS epidemic model with semi-Markov switching

被引：0
作者：
Ottaviano, Stefania [1 ,2 ,3 ]
机构：
[1] Univ Padua, Dept Math Tullio Levi Civita, Padua, Italy
[2] Univ Trento, Dept Civil Environm & Mech Engn, Trento, Italy
[3] Univ Padua, Dept Math Tullio Levi Civita, Viale Trieste 63, I-35131 Padua, Italy
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2023年 / 46卷 / 09期
关键词：
invariant probability measure; semi-Markov switching; stochastic stability; susceptible-asymptomatic infected-symptomatic infected-recovered-susceptible; vaccination; DRUG-RESISTANCE; TRANSMISSION; ERGODICITY; EMERGENCE;
D O I：
10.1002/mma.9122
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study the threshold dynamics of a stochastic SAIRS-type model with vaccination, where the role of asymptomatic and symptomatic infectious individuals is explicitly considered in the epidemic dynamics. In the model, the values of the disease transmission rate may switch between different levels under the effect of a semi-Markov process. We provide sufficient conditions ensuring the almost surely epidemic extinction and persistence in time mean. In the case of disease persistence, we investigate the omega-limit set of the system and give sufficient conditions for the existence and uniqueness of an invariant probability measure.
引用
收藏
页码：10289 / 10310
页数：22
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