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Stochastic dynamics of nonlinear tumor–immune system with chemotherapy

Author

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  • Bashkirtseva, Irina
  • Chukhareva, Anna
  • Ryashko, Lev

Abstract

Motivated by important applications to the solution of the problem of studying the mechanisms of tumor treatment, we consider a model of the dynamic interaction of tumor and immune cells under chemotherapy and random disturbances. Through the bifurcation analysis of the deterministic model, changes in dynamic modes, equilibrium and oscillatory, are studied depending on the therapy intensity parameter. The deformations of these regimes caused by random perturbations, namely stochastic excitation, noise-induced transitions in bistability zones, and noise-induced tumor suppression, are investigated numerically and using the analytical technique of stochastic sensitivity and the confidence domains method.

Suggested Citation

  • Bashkirtseva, Irina & Chukhareva, Anna & Ryashko, Lev, 2023. "Stochastic dynamics of nonlinear tumor–immune system with chemotherapy," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 622(C).
    • Handle: RePEc:eee:phsmap:v:622:y:2023:i:c:s0378437123003904
    DOI: 10.1016/j.physa.2023.128835
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    Cited by:

    1. Irina Bashkirtseva & Makar Pavletsov & Tatyana Perevalova & Lev Ryashko, 2023. "Analysis of Noise-Induced Transitions in a Thermo-Kinetic Model of the Autocatalytic Trigger," Mathematics, MDPI, vol. 11(20), pages 1-14, October.

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