Effects of Perfectly Correlated and Anti-Correlated Noise in a Logistic Growth Model  

作　　者：ZHANG Li CAO Li 

机构地区：[1]College of Biomedical Engineering, South-Central University for Nationalities, Wuhan 430074, China [2]Department of Physics, Huazhong University of Science and Technology, Wuhan 430074, China

出　　处：《Communications in Theoretical Physics》2011年第3期462-464,共3页理论物理通讯（英文版）

基　　金：Supported by the National Natural Science Foundation of China under Grant No. 11045004

摘　　要：The logistic growth model with correlated additive and multiplicative Gaussian white noise is used to anedyze tumor cell population. The effects of perfectly correlated and anti-correlated noise on the stationary properties of tumor cell population are studied. As in both cases the diffusion coefficient has zero point in real number field, some special features of the system are arisen. It is found that in cause tumor cell extinction. In the perfectly anti-correlated tumor cell population exhibit two extrema. both cases, the increase of the multiplicative noise intensity case, the stationary probability distribution as a function of

关 键 词：logistic growth model perfectly correlated noise perfectly anti-correlated noise 

分 类 号：O141.4[理学—数学] TN911.23[理学—基础数学]