Dynamics of an infection model with two delays

被引：3
作者：
Sun, Xinguo [1 ,2 ]
Wei, Junjie [1 ]
机构：
[1] Harbin Inst Technol, Dept Math, Harbin 150001, Heilongjiang, Peoples R China
[2] China Univ Petr East China, Sch Sci, Qingdao 266580, Peoples R China
来源：
INTERNATIONAL JOURNAL OF BIOMATHEMATICS | 2015年 / 8卷 / 05期
基金：
中国国家自然科学基金; 高等学校博士学科点专项科研基金;
关键词：
HTLV-I infection; CTL response; delay; Lyapunov functionals; global stability; Hopf bifurcation; HTLV-I INFECTION; IMMUNE-RESPONSE; CTL RESPONSE; GLOBAL DYNAMICS; PERIODIC OSCILLATIONS; MATHEMATICAL-MODEL; VIRUS TYPE-1; VIRAL MODEL; STABILITY;
D O I：
10.1142/S1793524515500680
中图分类号：
Q [生物科学];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
In this paper, a HTLV-I infection model with two delays is considered. It is found that the dynamics of this model are determined by two threshold parameters R-0 and R-1, basic reproduction numbers for viral infection and for CTL response, respectively. If R-0 < 1, the infection-free equilibrium P-0 is globally asymptotically stable. If R-1 < 1 < R-0, the asymptomatic-carrier equilibrium P-1 is globally asymptotically stable. If R-1 > 1, there exists a unique HAM/TSP equilibrium P-2. The stability of P-2 is changed when the second delay tau(2) varies, that is there exist stability switches for P-2.
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收藏
页数：21
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