The combined effects of Ltvy noise and immune delay on the extinction behavior in a tumor growth model are explored, The extinction probability of tumor with certain density is measured by exit probability. The expres...The combined effects of Ltvy noise and immune delay on the extinction behavior in a tumor growth model are explored, The extinction probability of tumor with certain density is measured by exit probability. The expression of the exit probability is obtained using the Taylor expansion and the infinitesimal generator theory. Based on numerical calculations, it is found that the immune delay facilitates tumor extinction when the stability index α〈 1, but inhibits tumor extinction when the stability index α 〉 1. Moreover, larger stability index and smaller noise intensity are in favor of the extinction for tumor with low density. While for tumor with high density, the stability index and the noise intensity should be reduced to promote tumor extinction.展开更多
基金supported by the National Natural Science Foundation of China(Grant Nos.11172233,11272258,and 11302170)
文摘The combined effects of Ltvy noise and immune delay on the extinction behavior in a tumor growth model are explored, The extinction probability of tumor with certain density is measured by exit probability. The expression of the exit probability is obtained using the Taylor expansion and the infinitesimal generator theory. Based on numerical calculations, it is found that the immune delay facilitates tumor extinction when the stability index α〈 1, but inhibits tumor extinction when the stability index α 〉 1. Moreover, larger stability index and smaller noise intensity are in favor of the extinction for tumor with low density. While for tumor with high density, the stability index and the noise intensity should be reduced to promote tumor extinction.
文摘对模拟肿瘤生长的微分方程 L ogistic模型进行了分析和研究 ,设计了一种基于一维细胞自动机的肿瘤生长动态模型。以连续 L ogistic模型为基础 ,导出模型的离散差分形式 ,在前人工作的基础上 ,设计出基于细胞自动机的离散计算机生长动态模型 ,并设计出细胞自动机状态随机演化规则 ,对基于细胞自动机的肿瘤生长动态模型进行了数值仿真实验 ,理论分析和结果表明细胞自动机模型模拟仿真计算数据与微分方程 L
