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
DOI: 10.12677/AAM.2023.125251, PDF,    国家自然科学基金支持
作者: 赵玉芝, 魏新*：黑龙江大学数学科学学院，黑龙江 哈尔滨
关键词: 肿瘤–免疫模型；稳定性；Hopf分支；Tumor-Immune Model； Stability； Hopf Bifurcation
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。
Abstract: 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.
文章引用：赵玉芝, 魏新. 一类具时滞的肿瘤–免疫反应扩散模型的动力学性质[J]. 应用数学进展, 2023, 12(5): 2493-2501. https://doi.org/10.12677/AAM.2023.125251

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