Dynamics of an infection model with two delays  

作　　者：Xinguo Sun Junjie Wei 

机构地区：[1]＊Department of MathematicsHarbin Institute of Technology, Harbin Heilongjiang 150001, P. R. China [2]School of ScienceChina University of Petroleum (East China) Qingdao 266580, P. R. China

出　　处：《International Journal of Biomathematics》2015年第5期295-315,共21页生物数学学报（英文版）

基　　金：Acknowledgments The authors would like to thank the reviewers＇ constructive suggestions which have improved the presentation of the paper. This research is supported by National Natural Science Foundation of China （No. 11371111）, the Research Fund for the Doctoral Program of Higher Education of China （No. 20122302110044） and Shandong Provincial Natural Science Foundation, China （No. ZR2013AQ023）.

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 R0 and R1, basic reproduction numbers for viral infection and for CTL response, respectively. If R0 〈 1, the infection-free equilibrium P0 is globally asymptotically stable. If R1 〈 1 〈 R0, the asymptomatic-carrier equilibrium P1 is globally asymptotically stable. If R1 〉 1, there exists a unique HAM/TSP equilibrium P2. The stability of P2 is changed when the second delay T2 varies, that is there exist stability switches for P2.

关 键 词：HTLV-I infection CTL response DELAY Lyapunov functionals global stabi-lity Hopf bifurcation. 

分 类 号：O313[理学—一般力学与力学基础] S858.28[理学—力学]