Extinction and persistence of a tumor-immune model with white noise and pulsed comprehensive therapy

Huan Yang, Yuanshun Tan, Jin Yang and Zijian Liu

Mathematics and Computers in Simulation (MATCOM), 2021, vol. 182, issue C, 456-470

Abstract: In this paper, a tumor-immune system with impulse comprehensive therapy and stochastic perturbation is investigated. The combination of pulsed chemotherapy and pulsed immunotherapy and the effect of environmental random disturbance are reflected in this model. The existence and uniqueness of global positive solution of the system are proved. It is determined that the expectation of the solution is always less than a constant by utilizing the comparison theorems of impulsive differential equations and that the tumor cells will become weakly persistent in the mean or extinct under some sufficient conditions. Our results and numerical simulations show that random disturbance can inhibit the growth of tumor cells, and the combination of chemotherapy and immunotherapy can reduce the damage of therapy to the healthy cells.

Keywords: Stochastic tumor-immune model; Pulsed comprehensive therapy; Extinction and persistence; Itô’s formula (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:182:y:2021:i:c:p:456-470

DOI: 10.1016/j.matcom.2020.11.014

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