HIV传播随机多组ds - di模型的平稳分布和消光

IF 0.8 4区数学 Q3 MATHEMATICS, APPLIED

Stochastic Analysis and Applications Pub Date : 2021-08-20 DOI:10.1080/07362994.2021.1963776

Qun Liu, D. Jiang

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引用次数: 2

摘要

摘要本文分析了HIV传播的随机多群体DS-DI-A模型。通过构造一系列合适的Lyapunov函数，建立了该系统正解的遍历平稳分布存在唯一性的充分条件。此外，我们为彻底根除和消灭这些疾病创造了充分的条件。从生物学的观点来看，稳定分布的存在表明这些疾病将长期流行并持续存在。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Stationary distribution and extinction of a stochastic multigroup DS-DI-a model for the transmission of HIV

Abstract In this paper, we analyze a stochastic multigroup DS-DI-A model for the transmission of HIV. We establish sufficient conditions for the existence and uniqueness of an ergodic stationary distribution of positive solutions to the system by constructing a series of suitable Lyapunov functions. Moreover, we make up adequate conditions for complete eradication and wiping out of the diseases. In a biological viewpoint, the existence of a stationary distribution shows that the diseases will be prevalent and persistent in the long term.

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来源期刊

Stochastic Analysis and Applications 数学-统计学与概率论

CiteScore

2.70

自引率

7.70%

发文量

审稿时长

6-12 weeks

期刊介绍： Stochastic Analysis and Applications presents the latest innovations in the field of stochastic theory and its practical applications, as well as the full range of related approaches to analyzing systems under random excitation. In addition, it is the only publication that offers the broad, detailed coverage necessary for the interfield and intrafield fertilization of new concepts and ideas, providing the scientific community with a unique and highly useful service.