北华大学学报（自然科学版）2016，Vol.17Issue(3)：290-295,6.DOI:10.11713/j.issn.1009-4822.2016.03.002
一类具有治愈率和时滞的传染病动力学模型的稳定性
Stability and Hopf Bifurcation of a SIS Model with Time Delay and Cure Rate
摘要
Abstract
A SIS model with time delay and cure rate is studied. By analyzing the corresponding characteristic equations,the local stability of every feasible equilibria is investigated. It proved that the disease is permanent when the reproduction number is greater than 1. By constructing appropriate Lyapunov functional, a sufficient condition is obtained for the global stability of infection-free equilibrium.关键词
治愈率/时滞/饱和发生率/持久性/全局稳定性/Hopf分支Key words
cure rate/time delay/saturation incidence/permanence/global stability/Hopf bifurcation分类
数理科学引用本文复制引用
管宪伟,李梁晨..一类具有治愈率和时滞的传染病动力学模型的稳定性[J].北华大学学报（自然科学版）,2016,17(3):290-295,6.基金项目
国家自然科学基金项目(11371368) （11371368）
