典型文献
A Delayed HIV Infection Model with the Homeostatic Proliferation of CD4+T Cells
文献摘要：
In this paper,we investigate a delayed HIV infection model that considers the homeostatic prolif-eration of CD4+T cells.The existence and stability of uninfected equilibrium and infected equilibria(smaller and larger ones)are studied by analyzing the characteristic equation of the system.The intracellular delay does not affect the stability of uninfected equilibrium,but it can change the stability of larger positive equilibrium and Hopf bifurcation appears inducing stable limit cycles.Furthermore,direction and stability of Hopf bifur-cation are well investigated by using the central manifold theorem and the normal form theory.The numerical simulation results show that the stability region of larger positive equilibrium becomes smaller as the increase of time delay.Moreover,when the maximum homeostatic growth rate is very small,the larger positive equilibrium is always stable.On the contrary,when the rate of supply of T cells is very small,the larger positive equilibrium is always unstable.
文献关键词：
中图分类号：
作者姓名：
Qiang-hui XU;Ji-cai HUANG;Yue-ping DONG;Yasuhiro TAKEUCHI
作者机构：
School of Mathematics and Statistics and Hubei Key Laboratory of Mathematical Sciences,Central China Normal University,Wuhan 430079,China;College of Science and Engineering,Aoyama Gakuin University,Kanagawa 252-5258,Japan
文献出处：
引用格式：
[1]Qiang-hui XU;Ji-cai HUANG;Yue-ping DONG;Yasuhiro TAKEUCHI-.A Delayed HIV Infection Model with the Homeostatic Proliferation of CD4+T Cells)[J].应用数学学报（英文版）,2022(02):441-462
A类：
Homeostatic,bifur
B类：
Delayed,HIV,Infection,Model,Proliferation,CD4+T,Cells,this,paper,delayed,infection,model,that,considers,homeostatic,prolif,cells,existence,stability,uninfected,equilibrium,equilibria,smaller,larger,ones,are,studied,by,analyzing,characteristic,equation,system,intracellular,does,not,affect,but,can,change,positive,Hopf,bifurcation,appears,inducing,limit,cycles,Furthermore,direction,well,investigated,using,central,manifold,theorem,normal,form,theory,numerical,simulation,results,show,region,becomes,increase,Moreover,when,maximum,growth,rate,very,always,On,contrary,supply,unstable
AB值：
0.536251
相似文献
机标中图分类号，由域田数据科技根据网络公开资料自动分析生成，仅供学习研究参考。
