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