北华大学学报（自然科学版）Issue(4)：373-378,6.DOI:10.11713/j.issn.1009-4822.2013.04.001
一类具有治愈率和非线性发生率的H IV 感染模型的动力学特性
Dynamics of HIV Infection Model with Cure Rate and Nonlinear Incidence Rate
摘要
Abstract
The dynamics of HIV infection model with cure rate and nonlinear incidence rate is investigated .The explicit expression for the basic reproduction number of the model which determines whether the virus dies out or not is obtained.With characteristic equation and Hurwitz criterion , the local stability of the equilibria is analyzed .By constructing a proper Lyapunov function , the global stability of the infection-free equilibrium is derived when the basic reproduction number is less than unity .Using the second additive compound matrix theory,we prove that the endemic equilibrium is globally asymptotically stable when the basic reproduction number is greater than unity .关键词
HIV模型/治愈率/非线性发生率/全局渐近稳定性Key words
HIV model/cure rate/nonlinear incidence rate/global asymptotic stability分类
数理科学引用本文复制引用
王海彬,徐瑞,陈辉..一类具有治愈率和非线性发生率的H IV 感染模型的动力学特性[J].北华大学学报（自然科学版）,2013,(4):373-378,6.基金项目
国家自然科学基金项目（11071254）． （）
