Asymptotic behavior of a stochastic hybrid SIQRS model with vertical transmission and nonlinear incidence

被引：0
作者：
Wang, Shan [1 ]
Wang, Feng [1 ,2 ]
机构：
[1] Pingxiang Univ, Dept Math, Pingxiang 337000, Peoples R China
[2] Cent South Univ, Sch Math & Stat, Changsha 410083, Peoples R China
来源：
AIMS MATHEMATICS | 2024年 / 9卷 / 05期
基金：
国家重点研发计划;
关键词：
stochastic SIQRS model; vertical transmission; extinction; invariant measure; EPIDEMIC MODEL; THRESHOLD; DIFFUSION; DYNAMICS; SYSTEMS;
D O I：
10.3934/math.2024613
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We studied a class of a stochastic hybrid SIQRS model with nonlinear incidence and vertical transmission and obtained a threshold Delta to distinguish behaviors of the model. Concretely, the disease was extinct exponentially when Delta < 0. If Delta > 0, the model we discussed admitted an invariant measure. A new class of the Lyapunov function was constructed in proving the latter conclusion. Some remarks were presented to shed light on the major results. Finally, several numerical simulations were provided to test the reached results.
引用
收藏
页码：12529 / 12549
页数：21
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