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Bifurcations of Tumor-Immune Competition Systems with Delay

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  • Ping Bi
  • Heying Xiao

Abstract

A tumor-immune competition model with delay is considered, which consists of two-dimensional nonlinear differential equation. The conditions for the linear stability of the equilibria are obtained by analyzing the distribution of eigenvalues. General formulas for the direction, period, and stability of the bifurcated periodic solutions are given for codimension one and codimension two bifurcations, including Hopf bifurcation, steady-state bifurcation, and B-T bifurcation. Numerical examples and simulations are given to illustrate the bifurcations analysis and obtained results.

Suggested Citation

  • Ping Bi & Heying Xiao, 2014. "Bifurcations of Tumor-Immune Competition Systems with Delay," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-12, April.
    • Handle: RePEc:hin:jnlaaa:723159
    DOI: 10.1155/2014/723159
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    Cited by:

    1. Dehingia, Kaushik & Das, Parthasakha & Upadhyay, Ranjit Kumar & Misra, Arvind Kumar & Rihan, Fathalla A. & Hosseini, Kamyar, 2023. "Modelling and analysis of delayed tumour–immune system with hunting T-cells," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 203(C), pages 669-684.

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