一类具有时滞和饱和传染率的HIV病理模型的稳定性分析  

Stability of an HIV Pathogenesis Model with Delay and Saturated Infection Rate

作　　者：江志超[1] 霍东升[1] 郭照庄[1] 孙月芳[1] 

机构地区：[1]北华航天工业学院基础部,河北廊坊065000

出　　处：《北华航天工业学院学报》2011年第5期20-22,38,共4页Journal of North China Institute of Aerospace Engineering

基　　金：廊坊市科学技术研究与发展计划项目(2011013034)

摘　　要：本文研究了一类具有饱和传染率、治愈率和细胞内时滞的HIV病理模型。通过分析特征方程的特征根的分布情况,给出了正平衡点的存在性、绝对稳定和条件稳定的条件。在正平衡点条件稳定时,给出了正平衡点保持稳定的时滞长度。An HIV Pathogenesis Model with saturated infection rate,cure rate and intracellular delay is analyzed.By analyzing the distribution of the roots of the characteristic equation,we give the existence and the conditions of absolute stability and conditional stability of the positive equilibrium.When the positive equilibrium is conditional stable,we give the delay longth for keeping the stability.

关 键 词：稳定性 HIV感染 CD4+T细胞 治愈率 饱和感染率 

分 类 号：O175.1[理学—数学]