基于饱和发生率的随机HIV模型的动力学研究  

A Stochastic Model for HIV Dynamics with Saturation Incidence

作　　者：何楠 王稳地[1] 周爱蓉 李艳[1] HE Nan, WANG Wen-di, ZHOU Ai-rong, LI Yan(School of Mathematics and Statistic, Southwest University, Chongqing 400715, Chin)

机构地区：[1]西南大学数学与统计学院,重庆400715

出　　处：《西南大学学报（自然科学版）》2018年第3期109-114,共6页Journal of Southwest University(Natural Science Edition)

基　　金：国家自然科学基金项目(11571284)

摘　　要：建立了一个带饱和发生率的随机HIV模型.首先分析了全局正解的存在性和有界性,进一步通过构造Lyapunov函数得到了病毒灭绝和持续的条件.In this paper,a stochastic HIV model with saturation rate is established.First,the existence and boundedness of the global positive solutions are proved.Then,by constructing Lyapunov function,the conditions of extinction and persistence for the stochastic HIV model with saturation rate are obtained.

关 键 词：随机模型 饱和发生率 灭绝性 随机持续性 

分 类 号：O175[理学—数学]