免疫系统Marchuk模型的定性分析  

Qualitative Analysis of Marchuk Model in Immune System

作　　者：崔诚[1] 王晓[1] 肖莉[1] 刘安平[1] 

机构地区：[1]中国地质大学数学与物理学院

出　　处：《武汉理工大学学报（信息与管理工程版）》2012年第4期437-440,共4页Journal of Wuhan University of Technology：Information & Management Engineering

基　　金：中央高校基本科研业务费专项基金资助项目(CUG090112)

摘　　要：对含时滞的Marchuk模型在参数满足某些条件下求出了模型方程的上、下解,利用单调方法和Liapunov函数证明了模型方程周期解和几乎周期解的存在性及稳定性。Marchuk model with time delay was discussed. Under the parameters of the model which satisfy some conditions, the upper - lower solutions of this model equations were obtained. The existence and stability of periodic solution and ahnost periodic solution were investigated by using monotone method ,fixed point theorem and Liapunov＇s function,respectively.

关 键 词：Marchuk模型 上 下解 周期解 几乎周期解 稳定性 

分 类 号：O175.1[理学—数学]