Stability analysis of a delayed model with lytic immune response for HIV infection 1
In this paper, we consider a delayed viral infection model with lytic immune response. We first investigate the existence and stability of the equilibrium. We then study the effect of the time delay on the stability of the infected equilibrium. The sufficient criteria for local and global asymptotic stabilities of the viral free equilibrium and the local asymptotic stability of the positive equilibrium are given. Moreover, by applying Sturm series, the length of delay is estimated for which stability continues to hold.
HIV infection time delay Lytic immune response Sturm series
Zhixing Hu Xia Li Wanbiao Ma
Department of Mathematics and Physics,University of Science and Technology Beijing,Beijing,China,100083
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
1254-1260
2011-06-01（万方平台首次上网日期，不代表论文的发表时间）