BIO Web Conf.
Volume 59, 20232023 5th International Conference on Biotechnology and Biomedicine (ICBB 2023)
|Number of page(s)||7|
|Section||Precision Medicine and Drug Development and Preparation|
|Published online||08 May 2023|
Stability and Bifurcation of Tumor Immune Model with Time Delay
Engineering Training Center, Putian University, Putian 351100, China
* Corresponding author: firstname.lastname@example.org
In this paper, we investigate the effect of time delay on the stability of the tumor immune system using theoretical calculations and numerical simulations. Since it takes a certain time for immune cells to recognize tumor cells to make an appropriate response, a model of tumor-immune system interaction with time delay is established by considering time delay in this process. The four equilibrium points are solved by simplifying the model using Taylor expansion with a small time delay. Then the stability of each equilibrium point of the system under a small time delay is determined by calculating the characteristic roots of each equilibrium point with numerical simulation software. The results show that the system has a bistability phenomenon. The saddle point and stable node are not affected by the delay, while only the stability of the stable foci changes with the time delay with Hopf bifurcation. This study can help determine the optimal time for tumor treatment and provide a reference for analyzing tumor status and treatment.
© The Authors, published by EDP Sciences, 2023
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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