具有高危易感年龄和潜伏期年龄的HIV传播模型研究  

Analysis of HIV Transmission Model with High-Risk Susceptible Age and Latent Age

作　　者：王雅萍 王生福 聂麟飞[1] WANG Yaping;WANG Shengfu;NIE Linfei(School of Mathematics and System Sciences,Xinjiang University,Urumqi Xinjiang 830017,China)

机构地区：[1]新疆大学数学与系统科学学院,新疆乌鲁木齐830017

出　　处：《新疆大学学报（自然科学版）（中英文）》2023年第2期160-168,174,共10页Journal of Xinjiang University(Natural Science Edition in Chinese and English)

基　　金：国家自然科学基金“多宿主传染病模型动力学分析及应用”(11961066);新疆维吾尔自治区自然科学基金“基于异质性的艾滋病传播的数学建模与防控分析――以新疆为例”(2021D01C070)。

摘　　要：基于HIV的传播特点,将易感人群分为普通易感人群和高危易感人群,提出一类具有高危易感年龄和潜伏期年龄的HIV传播模型.利用下一代算子方法给出基本再生数R_(0)的精确表达式.讨论无病平衡态和地方病平衡态的存在性与稳定性,即:当R_(0)<1时无病平衡态全局渐近稳定,当R_(0)>1时地方病平衡态全局渐近稳定.Based on the transmission characteristics of HIV,the susceptible population is divided into general susceptible population and high-risk susceptible population,and an HIV transmission model with high-risk susceptible age and latent age is developed.The exact expression of the basic reproduction number R_(0) is obtained by using the next generation operator method.The existence and stability of disease-free steady state and endemic steady state are discussed,that is,the disease-free steady state is globally asymptotically stable for R_(0)<1 and the endemic steady state is globally asymptotically stable for R_(0)>1.

关 键 词：HIV传播 高危易感人群 潜伏期年龄 基本再生数 稳定性 

分 类 号：O175[理学—数学]