一类具时滞的肿瘤–免疫反应扩散模型的动力学性质  

Dynamics of a Tumor-Immune Response Diffusion Model with Time Delay

作　　者：赵玉芝 魏新 

机构地区：[1]黑龙江大学数学科学学院,黑龙江 哈尔滨

出　　处：《应用数学进展》2023年第5期2493-2501,共9页Advances in Applied Mathematics

摘　　要：本文主要对一类肿瘤–免疫细胞竞争模型的动力学性质进行研究。首先,分析在反应扩散模型中引入时滞是否影响平衡点的稳定性;其次,给出了Hopf分支发生的充分条件;最后,通过数值模拟展示了肿瘤–免疫细胞竞争模型的发展规律,并对理论结果进行了解释。In this paper, the dynamical properties of a tumor-immune cell competition model were studied. Firstly, the stability of equilibrium point is analyzed if time delay is introduced into reaction-dif- fu-sion model. Secondly, the sufficient conditions for the occurrence of Hopf bifurcation are given. Fi-nally, the development law of tumor-immune cell competition model was demonstrated by numer-ical simulation, and the theoretical results were explained.

关 键 词：肿瘤–免疫模型 稳定性 HOPF分支 

分 类 号：R73[医药卫生—肿瘤]