A HYBRID SWITCHING S-DI-A EPIDEMIC MODEL WITH STANDARD INCIDENCE: PERSISTENCE, EXTINCTION AND POSITIVE RECURRENCE

被引：1

作者：

Shi, Zhenfeng ^{[1
,2
]}

Jiang, Daqing ^{[1
]}

机构：

[1] China Univ Petr, Coll Sci, Qingdao 266580, Shandong, Peoples R China

[2] Northeast Normal Univ, Sch Math & Stat, Key Lab Appl Stat MOE, Changchun 130024, Jilin, Peoples R China

来源：

JOURNAL OF APPLIED ANALYSIS AND COMPUTATION | 2023年 / 13卷 / 02期

关键词：

S-DI-A model; Markovian switching; persistence in the mean; extinction; positive recurrence; DIFFERENTIAL INFECTIVITY; THRESHOLD BEHAVIOR; HIV MODEL; TRANSMISSION; POPULATION; DYNAMICS; STABILITY; EQUATION; SYSTEMS;

D O I：

10.11948/20220145

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, a stochastic S-DI-A epidemic model with standard incidence under Markovian switching is investigated to study the spread of the HIV virus. For this purpose, we firstly obtain sufficient conditions for persistence in the mean of the disease. In addition, sufficient conditions for exponential extinction of the infectious disease is derived. Furthermore, by constructing a suitable stochastic Lyapunov function with regime switching, we establish sufficient conditions for the existence of positive recurrence of the solutions. Finally, numerical simulations are employed to demonstrate the analytical results.

引用

页码：826 / 844

页数：19

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