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Updated: May 17, 2025

Modeling Chemotherapy Resistant Leukemia In Vitro
Published on: February 9, 2016
Extinction and persistence of a stochastic tumor-normal-immune model with periodically pulsed chemotherapy treatment
1Department of Mathematics, Laboratory of Mathematics & Interactions (LMI), Faculty of Sciences, Moulay Ismail University, Zitoune, 11201, Meknes, Morocco. n.bajja@edu.umi.ac.ma.
Abstract:
In this paper, we introduced a stochastic tumor-normal-immune dynamical system with periodically pulsed chemotherapy to investigate the impact of environmental noise on tumor evolution. By utilizing theorems from impulsive stochastic differential equations, we analyzed tumor-free and globally positive solutions within the proposed framework. Our findings demonstrated that the expected solutions remained bounded. Additionally, we derived sufficient conditions for various tumor outcomes, including extinction, non-persistence in the mean, weak persistence in the mean, and stochastic persistence. Finally, we validated our results through comprehensive computer simulations.
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