摘要
本文研究一类带时滞的肿瘤免疫模型.首先分析非负平衡点的稳定性.然后以τ为分支参数证明Hopf分支的存在性.最后运用规范型方法和中心流形理论给出Hopf分支方向和分支周期解稳定性的判据.
In this paper,a tumor immune model with time delay is studied.First,the stability of nonnegative equilibria are analyzed.Then τ is selected as the bifurcation parameter and the existence of Hopf bifurcation is proved.Finally,by using the canonical method and the central manifold theory,the criteria for judging the Hopf bifurcation direction and stability of bifurcation periodic solutions are given.
作者
杨艳红
伏升茂
YANG Yanhong;FU Shengmao(College of Mathematics and Statistics,Northwest Normal University,Lanzhou,Gansu,730070,P.R.China)
出处
《数学进展》
CSCD
北大核心
2021年第3期383-398,共16页
Advances in Mathematics（China）
基金
国家自然科学基金(No.11761063)。
