Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
10481871 | Physica A: Statistical Mechanics and its Applications | 2013 | 10 Pages |
Abstract
In this paper, we investigate stochastic bifurcation for a tumor-immune system in the presence of a symmetric non-Gaussian Lévy noise. Stationary probability density functions will be numerically obtained to define stochastic bifurcation via the criteria of its qualitative change, and bifurcation diagram at parameter plane is presented to illustrate the bifurcation analysis versus noise intensity and stability index. The effects of both noise intensity and stability index on the average tumor population are also analyzed by simulation calculation. We find that stochastic dynamics induced by Gaussian and non-Gaussian Lévy noises are quite different.
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Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Yong Xu, Jing Feng, JuanJuan Li, Huiqing Zhang,