Stationary distribution and extinction of a stochastic HIV/AIDS model with screened disease carriers, standard incidence rate and Ornstein-Uhlenbeck process☆

被引：0

作者：

Zuo, Wenjie ^{[1
]}

Jiang, Shengnan ^{[1
]}

机构：

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

来源：

APPLIED MATHEMATICS LETTERS | 2025年 / 168卷

基金：

中国国家自然科学基金;

关键词：

HIV/AIDS model; Ornstein-Uhlenbeck process; Standard incident rate; Stationary distribution; Extinction;

D O I：

10.1016/j.aml.2025.109575

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper proposes a stochastic HIV/AIDS model that includes screening for virus carriers and infected individuals actively seeking treatment, with the average number of sexual partners controlled by a log-normal Ornstein-Uhlenbeck process. By constructing appropriate Lyapunov functions, the existence of a stationary distribution is obtained. Additionally, we establish sufficient condition for the extinction of the diseases, thereby offering valuable insights into AIDS control and policy decisions.

引用

页数：6

共 6 条

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