一类具有时滞的免疫系统的分支解  

The Solutions of Hopf Bifurcation in a Class of Immune System with Delay

作　　者：刘三红[1] 

机构地区：[1]咸宁学院数学系 湖北咸宁437100

出　　处：《咸宁学院学报》2007年第3期18-20,共3页Journal of Xianning University

基　　金：咸宁学院校级重点基金(KL0526)

摘　　要：讨论了带有时滞的免疫系统Marchuk模型的分支解的性态.以时滞τ为参数,利用中心流形定理和规范形理论,得到了Hopf分支周期解的稳定性及分支方向的计算公式,为数值模拟提供了依据.We study the properties of the solution in Marchuk＇s model of immune system. In much detail, using time lag as a parameter and using the center manifold theorem and normal form theory, we obtain two calculation formulas which reflect the stability with Hopf bifurcating periodic solution and bifurcating direction. Thus it provide a basis for numerical simulation calculation, we simulate the result.

关 键 词：Marchuk模型 HOPF分支 中心流形 超(次)临界分支 

分 类 号：O21[理学—概率论与数理统计]