A six-dimensional delayed epidemic model with immune response
In this paper, we investigate the global asymptotic stability of a 6-dimensional delayed epidemicmodel with immune response and intracellular delays. By using the method of Lyapunov functional, weproved that the infection-free equilibrium Eo, the immune-free equilibrium E1, the chronic-infectionequilibrium E2 are globally asymptotically stable when Ro≤1,Ro≤1<Ro and Ro>Ro>1,respectively.
Epidemic model Delay Global dynamics Immune response Lyapunov functional
Youde Tao Xinyu Song
College of Mathematics and Information Science,Xinyang Normal University,Xinyang 464000, Henan,China
国际会议
The 5th International Congress on Mathematical Biology(第五届国际生物数学大会 ICMB 2011)
南京
英文
1369-1375
2011-06-01(万方平台首次上网日期,不代表论文的发表时间)