具有感染者筛查效应的随机性别结构艾滋病毒/艾滋病流行模型的精确解分析

Analysis of exact solution of stochastic sex-structured HIV/AIDS epidemic model with effect of screening of infectives.

作者信息

Rathinasamy A, Chinnadurai M, Athithan S

机构信息

Department of Mathematics, Anna University, Chennai 600025, India.

Department of Mathematics, MIT Campus, Anna University, Chennai 600044, India.

出版信息

Math Comput Simul. 2021 Jan;179:213-237. doi: 10.1016/j.matcom.2020.08.017. Epub 2020 Aug 22.

DOI:10.1016/j.matcom.2020.08.017

PMID:32863550

原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC7443164/

Abstract

The world of uncertainty motivates the study of stochastic perturbation in the mathematical models of real life. The main objective of this paper is to study stochastic sex-structured HIV/AIDS epidemic model with effect of screening of infectives. We have shown that the proposed stochastic epidemic model with boundedness and permanence has a unique global positive solution. The selection of suitable Lyapunov functions provides sufficient conditions for investigating persistence and extinction of disease. Based on numerical experiments, the theoretical findings of this paper have been verified.

摘要

不确定性的世界推动了对现实生活数学模型中随机扰动的研究。本文的主要目的是研究具有感染者筛查效应的随机性别结构艾滋病毒/艾滋病流行模型。我们已经证明，所提出的具有有界性和持久性的随机流行模型有唯一的全局正解。合适的李雅普诺夫函数的选择为研究疾病的持续存在和灭绝提供了充分条件。基于数值实验，本文的理论结果得到了验证。