周期性脉冲化疗的随机肿瘤-正常-免疫模型的消失和持续。

IF 2.3 4区数学 Q2 BIOLOGY

Journal of Mathematical Biology Pub Date : 2025-04-18 DOI:10.1007/s00285-025-02215-y

Nabyl Bajja, Driss Seghir

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引用次数: 0

摘要

在本文中，我们引入了一个随机肿瘤-正常-免疫动力系统与周期性脉冲化疗，以研究环境噪声对肿瘤演变的影响。利用脉冲随机微分方程的定理，我们分析了该框架内的无肿瘤解和全局正解。我们的研究结果表明，预期的解决方案仍然是有限的。此外，我们推导了各种肿瘤结果的充分条件，包括消失、平均非持续性、平均弱持续性和随机持续性。最后，通过全面的计算机模拟验证了我们的结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Extinction and persistence of a stochastic tumor-normal-immune model with periodically pulsed chemotherapy treatment.

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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来源期刊

Journal of Mathematical Biology 生物-生物学

CiteScore

3.30

自引率

5.30%

发文量

120

审稿时长

6 months

期刊介绍： The Journal of Mathematical Biology focuses on mathematical biology - work that uses mathematical approaches to gain biological understanding or explain biological phenomena. Areas of biology covered include, but are not restricted to, cell biology, physiology, development, neurobiology, genetics and population genetics, population biology, ecology, behavioural biology, evolution, epidemiology, immunology, molecular biology, biofluids, DNA and protein structure and function. All mathematical approaches including computational and visualization approaches are appropriate.