Pure Multiplicative Noises Induced Population Extinction in an Anti-tumor Model under Immune Surveillance  

作　　者：WANG Can-Jun LI Di MEI Dong-Cheng 

机构地区：[1]Nonlinear Research Institute, Baoji University of Arts and Sciences, Baoji 721007, China [2]Department of Physics, Yunnan University, Kunming 650091, China

出　　处：《Communications in Theoretical Physics》2009年第9期463-467,共5页理论物理通讯（英文版）

基　　金：Supported by the Natural Science Foundation of China under Grant No.10865006;the Science Foundation of the Education Bureau of Shaanxi Province under Grant No.09JK331;the Science Foundation of Baoji University of Science and Arts of China under Grant No.Zk0725

摘　　要：The dynamical characters of a theoretical anti-tumor model under immune surveillance subjected to a pure multiplicative noise are investigated. The effects of pure multiplicative noise on the stationary probability distribution （SPD） and the mean first passage time （MFPT） are analysed based on the approximate Fokker-Planck equation of the system in detail. For the anti-tumor model, with the multiplieative noise intensity D increasing, the tumor population move towards to extinction and the extinction rate can be enhanced. Numerical simulations are carried out to check the approximate theoretical results. Reasonably good agreement is obtained.

关 键 词：multiplicative noise anti-tumor model 

分 类 号：O211.3[理学—概率论与数理统计] TP393.08[理学—数学]