Stochastic bifurcation for a tumor–immune system with symmetric Lévy noise

Yong Xu, Jing Feng, JuanJuan Li and Huiqing Zhang

Physica A: Statistical Mechanics and its Applications, 2013, vol. 392, issue 20, 4739-4748

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.

Keywords: Lévy noise; Stochastic bifurcation; Tumor–immune system (search for similar items in EconPapers)
Date: 2013
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Citations: View citations in EconPapers (13)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:392:y:2013:i:20:p:4739-4748

DOI: 10.1016/j.physa.2013.06.010

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