具有筛选疾病携带者、标准发病率和Ornstein-Uhlenbeck过程的随机HIV/AIDS模型的平稳分布和消光

IF 2.9 2区数学 Q1 MATHEMATICS, APPLIED

Applied Mathematics Letters Pub Date : 2025-04-14 DOI:10.1016/j.aml.2025.109575

Wenjie Zuo, Shengnan Jiang

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引用次数: 0

摘要

本文提出了一个随机HIV/AIDS模型，该模型包括筛选病毒携带者和积极寻求治疗的感染者，性伴侣的平均数量k′由对数正态Ornstein-Uhlenbeck过程控制。通过构造适当的Lyapunov函数，得到了平稳分布的存在性。此外，我们还建立了消灭这些疾病的充分条件，从而为艾滋病控制和政策决定提供了宝贵的见解。

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

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

\bar{k}

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.

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来源期刊

Applied Mathematics Letters 数学-应用数学

CiteScore

7.70

自引率

5.40%

发文量

347

审稿时长

10 days

期刊介绍： The purpose of Applied Mathematics Letters is to provide a means of rapid publication for important but brief applied mathematical papers. The brief descriptions of any work involving a novel application or utilization of mathematics, or a development in the methodology of applied mathematics is a potential contribution for this journal. This journal''s focus is on applied mathematics topics based on differential equations and linear algebra. Priority will be given to submissions that are likely to appeal to a wide audience.