Mathematical modeling of tumor-immune competitive system, considering the role of time delay

作者：

Highlights：

• A time delay model of the complex interaction between Tumor, CD8+T cells and T - helper cells.

• The model undergoes Hopf bifurcation in which time delay plays an important role to destabilize the system.

• Extensive numerical simulations are performed to validate our analytical findings.

摘要

•A time delay model of the complex interaction between Tumor, CD8+T cells and T - helper cells.•The model undergoes Hopf bifurcation in which time delay plays an important role to destabilize the system.•Extensive numerical simulations are performed to validate our analytical findings.

论文关键词：Tumor cells,Immune system,Time delay,Hopf bifurcation,Stability analysis

论文评审过程：Received 26 April 2018, Revised 22 July 2018, Accepted 13 August 2018, Available online 9 September 2018, Version of Record 9 September 2018.

论文官网地址：https://doi.org/10.1016/j.amc.2018.08.018