In this paper, we study the dynamical behavior of a stochastic two-compartment model of B-cell chronic lymphocytic leukemia, which is perturbed by white noise. Firstly, by constructing suitable Lyapunov functions, we establish sufficient conditions for the existence of a unique ergodic stationary distribution. Then, conditions for extinction of the disease are derived. Furthermore, numerical simulations are presented for supporting the theoretical results. Our results show that large noise intensity may contribute to extinction of the disease.

中文翻译：

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B细胞慢性淋巴细胞白血病随机二室模型的平稳分布和消光

在本文中，我们研究了随机二室模型的动力学行为乙-细胞慢性淋巴细胞白血病，受白噪声干扰。首先，通过构造合适的 Lyapunov 函数，我们建立了唯一遍历平稳分布存在的充分条件。然后，得出疾病灭绝的条件。此外，提出了数值模拟以支持理论结果。我们的研究结果表明，大的噪声强度可能有助于疾病的灭绝。