Year: 2025
Author: Weipeng Zhang, Shiyu Zhang, Hang Wang
Journal of Nonlinear Modeling and Analysis, Vol. 7 (2025), Iss. 2 : pp. 463–492
Abstract
In this paper, we consider an immunotherapy model for breast cancer with stochastic perturbations and pulsed chemotherapy. By using stochastic Lyapunov analysis and the strong law of large numbers, we first prove the existence, uniqueness and the stochastic ultimate boundedness of the global positive solution for the model. Then we obtain sufficient conditions for the extinction of tumor cells and the persistence of all three kinds of cells for this model. Finally, we use numerical simulations to verify the theoretical results which are obtained in the paper.
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.12150/jnma.2025.463
Journal of Nonlinear Modeling and Analysis, Vol. 7 (2025), Iss. 2 : pp. 463–492
Published online: 2025-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 30
Keywords: Breast cancer persistence extinction white noise impulsive effect.