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<p>In this paper, we consider a stochastic tumor-immune system for breast cancer with pulsed comprehensive therapy. 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. And then we derive the sufficient conditions for the extinction of disease. Finally, we will present numerical simulations to verify the theoretical results obtained in the paper.</p>

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Combination therapy for breast cancer in random environments

  • 期刊论文

  • 发表日期：

    2026年5月26日

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  • Weipeng Zhang,
  • Shiyu Zhang,
  • Hang Wang

摘要

In this paper, we consider a stochastic tumor-immune system for breast cancer with pulsed comprehensive therapy. 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. And then we derive the sufficient conditions for the extinction of disease. Finally, we will present numerical simulations to verify the theoretical results obtained in the paper.