Extinction Effects of Multiplicative Non-Gaussian L′evy Noise in a Tumor Growth System with Immunization  

作　　者：郝孟丽 徐伟 李东喜 刘迪 

机构地区：[1]Department of Applied Mathematics, Northwestern Polytechnical University [2]School of Mathematics, Taiyuan University of Technology

出　　处：《Communications in Theoretical Physics》2014年第5期571-577,共7页理论物理通讯（英文版）

基　　金：Supported by the National Natural Science Foundation of China under Grant Nos.10932009,11172233,and 11302169

摘　　要：The extinction phenomenon induced by multiplicative non-Gaussian L′evy noise in a tumor growth model with immune response is discussed. Under the influence of the stochastic immune rate, the model is analyzed in terms of a stochastic differential equation with multiplicative noise. By means of the theory of the infinitesimal generator of Hunt processes, the escape probability, which is used to measure the noise-induced extinction probability of tumor cells, is explicitly expressed as a function of initial tumor cell density, stability index and noise intensity. Based on the numerical calculations, it is found that for different initial densities of tumor cells, noise parameters play opposite roles on the escape probability. The optimally selected values of the multiplicative noise intensity and the stability index are found to maximize the escape probability.

关 键 词：model of tumor growth stochastic immune rate non-Gaussian L6vy motion noise-induced ex-tinction probability 

分 类 号：O211.62[理学—概率论与数理统计]