DYNAMICS OF A STOCHASTIC HIV/AIDS MODEL WITH TREATMENT UNDER REGIME SWITCHING

被引：6

作者：

Gao, Miaomiao ^{[1
]}

Jiang, Daqing ^{[2
,3
,4
]}

Hayat, Tasawar ^{[4
,5
]}

Alsaedi, Ahmed ^{[4
]}

Ahmad, Bashir ^{[4
]}

机构：

[1] Qingdao Univ, Sch Math & Stat, Qingdao 266071, Peoples R China

[2] China Univ Petr East China, Coll Sci, Qingdao 266580, Peoples R China

[3] China Univ Petr East China, Minist Educ, Key Lab Unconvent Oil & Gas Dev, Qingdao 266580, Peoples R China

[4] King Abdulaziz Univ, Dept Math, Nonlinear Anal & Appl Math NAAM Res Grp, Jeddah 21589, Saudi Arabia

[5] Quaid I Azam Univ, Dept Math, Islamabad 44000, Pakistan

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | 2022年 / 27卷 / 06期

基金：

中国国家自然科学基金;

关键词：

Stochastic HIV; AIDS model; treatment; regime switching; stationary distribution; extinction; SIRS EPIDEMIC MODEL; ANTIRETROVIRAL THERAPY; THRESHOLD BEHAVIOR; INFECTION MODEL; STABILITY; POPULATION; VACCINATION; EXTINCTION; SYSTEMS; TIME;

D O I：

10.3934/dcdsb.2021181

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper focuses on the spread dynamics of an HIV/AIDS model with multiple stages of infection and treatment, which is disturbed by both white noise and telegraph noise. Switching between different environmental states is governed by Markov chain. Firstly, we prove the existence and uniqueness of the global positive solution. Then we investigate the existence of a unique ergodic stationary distribution by constructing suitable Lyapunov functions with regime switching. Furthermore, sufficient conditions for extinction of the disease are derived. The conditions presented for the existence of stationary distribution improve and generalize the previous results. Finally, numerical examples are given to illustrate our theoretical results.

引用

页码：3177 / 3211

页数：35

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