Global dynamics analysis for a nonlinear HTLV-I model with logistic proliferation and CTL response  

作　　者：Siyu Chen Zhijun Liu Lianwen Wang Xingan Zhang 

机构地区：[1]School of Mathematics and Statistics Central China Normal University Wuhan,Hubei 430079,P.R.China [2]School of Mathematics and Statistics Hubei Minzu University,Enshi Hubei 445000,P.R.China

出　　处：《International Journal of Biomathematics》2024年第3期35-55,共21页生物数学学报（英文版）

基　　金：supported by the National Natural Science Foundation(NNSF)of China(Nos.11871201,11871238 and 12001178)。

摘　　要：It is beyond dispute that cytotoxic T-lymphocytes(CTLs)exert a vital function in the host's antiviral defense mechanism.With the idea of the above factor and the logistic proliferation of CD4+T-cells,we establish a HTLV-I(human T-cell leukemia virus type-I)mathematical model.First,two threshold parameters Ro and Re(the basic reproduction numbers for viral infection and CTL immune response,respectively)are obtained.Second,sufficient criteria for local and global asymptotic stabilities of the feasible equilibria of the model are deduced,respectively.Third,the sensitivity analyses of Ro and Rc are performed to better understand the effective strategies for HTLV-I infection.Finally,not only numerical simulations are given to illustrate the stability conclusions,but also the biological significance is stated.

关 键 词：HTLV-I infection logistic proliferation CTL response STABILITY sensitivity analysis 

分 类 号：O17[理学—数学]