摘要
考虑了一类带有时滞和扩散现象的肿瘤免疫模型,主要分析了模型边界平衡态解与正平衡态解的稳定性和发自正平衡态解处Hopf分支的存在性。研究结果表明:时滞会破坏模型正平衡态的稳定性并导致模型出现Hopf分支。
A tumor immune model with time delay and diffusion term is considered.The stability of the boundary and positive equilibrium states and the existence of the Hopf bifurcation emitting from the positive steady-state are studied.The results show that the time delay can destroy the stability of the positive equilibrium state and lead to the occurrence of the Hopf branch.
作者
梁雨琴
贾云锋
LIANG Yuqin;JIA Yunfeng(School of Mathematics and Information Science,Shaanxi Normal University,Xi'an 710062,China)
出处
《中山大学学报（自然科学版）》
CAS
CSCD
北大核心
2020年第2期28-33,共6页
Acta Scientiarum Naturalium Universitatis Sunyatseni
基金
国家自然科学基金(11771262,61672021)
陕西省自然科学基础研究计划项目(2018JM1020)。
