| Extinction Effects of Multiplicative Non-Gaussian L′evy Noise in a Tumor Growth System with Immunization |
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| 引用本文： | 郝孟丽,徐伟,李东喜,刘迪.Extinction Effects of Multiplicative Non-Gaussian L′evy Noise in a Tumor Growth System with Immunization[J].理论物理通讯,2014(5):571-577. |
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| 作者姓名： | 郝孟丽 徐伟 李东喜 刘迪 |
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| 基金项目： | Supported by the National Natural Science Foundation of China under Grant Nos.10932009,11172233,and 11302169 |
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| 摘 要： | The extinction phenomenon induced by multiplicative non-Gaussian Levy 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.
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| 关 键 词： | 非高斯噪声 肿瘤细胞 消光效果 免疫应答 生长系统 征收 随机微分方程 乘法 |
Extinction Effects of Multiplicative Non-Gaussian Levy Noise in a Tumor Growth System with Immunization |
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| HAO Meng-Li,XU Wei,LI Dong-Xi,LIU Di.Extinction Effects of Multiplicative Non-Gaussian Levy Noise in a Tumor Growth System with Immunization[J].Communications in Theoretical Physics,2014(5):571-577. |
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| Authors: | HAO Meng-Li XU Wei LI Dong-Xi LIU Di |
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| Abstract: | model of tumor growth, stochastic immune rate, non-Gaussian L6vy motion, noise-induced ex-tinction probability |
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| Keywords: | model of tumor growth stochastic immune rate non-Gaussian L6vy motion noise-induced ex-tinction probability |
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