Effects of Lvy noise and immune delay on the extinction behavior in a tumor growth model  被引量:3

Effects of Lvy noise and immune delay on the extinction behavior in a tumor growth model

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作  者:郝孟丽 徐伟 谷旭东 戚鲁媛 

机构地区:[1]Department of Applied Mathematics,Northwestern Polytechnical University

出  处:《Chinese Physics B》2014年第9期126-132,共7页中国物理B(英文版)

基  金:supported by the National Natural Science Foundation of China(Grant Nos.11172233,11272258,and 11302170)

摘  要: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.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.

关 键 词:exit probability Levy noise immune delay tumor growth model 

分 类 号:O175[理学—数学]

 

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