Threshold dynamics of a stochastic tumor-immune model with adoptive cell transfer therapy

• Xiao-Bing Zhang ^[1] ; Rui-Yan Ning ^[1]
  1. [1] Lanzhou University of Technology

     Lanzhou University of Technology

     China

     
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 25, Nº 3, 2026
• Idioma: inglés
• Enlaces
  • Texto completo
• Resumen

  • In this paper, first of all, we present a stochastic tumor-immune model with adoptive cell transfer therapy. Then, we derive a threshold parameter λ that classifies the longterm dynamical behavior of tumor cells. When λ< 0, the tumor cells are extinct, while λ> 0, the tumor cells are persistent and the model has a unique invariant probability measure. Finally, we find that the mathematical expectation of tumor cell population and the stochastic perturbation intensity have a non-monotonic relationship while the threshold λ and the stochastic perturbation intensity have a monotonic relationship.

    These results further deepen understanding to stochasticity in tumor therapy.

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