北华大学学报（自然科学版）2016，Vol.17Issue(1)：9-14,6.DOI:10.11713/j.issn.1009-4822.2016.01.003
一类具有年龄结构和Beddington-DeAngelis功能反应的HIV感染模型的全局动态性质分析
Global Dynamics Analysis of An Age-Structured HIV Infection Model with Beddington-DeAngelis Functional Response
摘要
Abstract
An age-structured HIV infection model with Beddington-DeAngelis functional response is investigated. By analyzing the characteristic equations,the local stability of an infection-free steady state and an infected steady state of the model are established. By using suitable Lyapunov functional and LaSalle' s invariance principle,it is proved that if the basic reproduction number is less than unity, the infection-free steady state is globally asymptotically stable;and if the basic reproduction number is greater than unity, the infected steady state is globally asymptotically stable.关键词
HIV/年龄结构/Beddington-DeAngelis功能反应Key words
HIV/age-structured/Beddington-DeAngelis functional response分类
数理科学引用本文复制引用
李梁晨,管宪伟..一类具有年龄结构和Beddington-DeAngelis功能反应的HIV感染模型的全局动态性质分析[J].北华大学学报（自然科学版）,2016,17(1):9-14,6.基金项目
国家自然科学基金项目(11371368,11071254). （11371368,11071254）
