霍普夫分叉
理论(学习稳定性)
控制理论(社会学)
计算
免疫系统
分叉
负效应
应用数学
数学
离散时间和连续时间
数值分析
生物系统
计算机科学
数学分析
生物
物理
统计
算法
免疫学
非线性系统
人工智能
心理学
社会心理学
控制(管理)
量子力学
机器学习
作者
Kaushik Dehingia,Prasenjit Das,Ranjit Kumar Upadhyay,Arvind Misra,Fathalla A. Rihan,K. Hosseini
标识
DOI:10.1016/j.matcom.2022.07.009
摘要
This study proposes a modified prey–predator-like model consisting of tumour cells, hunting T-cells, and resting T-cells to illustrate tumour–immune interaction by incorporating discrete-time-delay with conversion or growth of hunting cells. For analysis, the proposed system has been transformed into a normalized system, and its non-negativity solution has been verified. The linear stability of the system has been analysed at each equilibrium. The discrete-time delay affects the system’s stability, and the system undergoes a Hopf bifurcation. Moreover, the length of time delay for which a periodic solution can be preserved has been derived. Finally, numerical computations have been presented that correlate with analytical results and are also relevant from a biological perspective.
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