Effects of non-Gaussian noise on the dynamical properties of a logistic system

doi:10.1088/1674-1056/22/6/060502

Abstract The dynamical properties of a tumor cell growth system described by the logistic system with coupling between non-Gaussian and Gaussian noise terms are investigated. The effects of the nonextensive index q on the stationary properties and the transient properties are discussed, respectively. The results show that the nonextensive index q can induce the tumor cell numbers decrease greatly in the case of q>1. Moreover, the switch from the steady stable state to the extinct state is speeded up as the increases of q, and the tumor cell numbers can be more obviously restrained for a large value of q. The numerical results are found to be in basic agreement with the theoretical predictions.

Keywords: logistic growth system non-Gaussian noise dynamical properties

Received: 15 September 2012
Revised: 07 December 2012
Accepted manuscript online:

PACS:

05.40.-a

(Fluctuation phenomena, random processes, noise, and Brownian motion)

Fund: Project supported by the National Natural Science Foundation of China (Grant No. 11205006), the Science Foundation of the Education Bureau of Shaanxi Province, China (Grant No. 12JK0962), and the Science Foundation of Baoji University of Arts and Sciences of China (Grant No. ZK11053).

Corresponding Authors: Wang Can-Jun
E-mail: cjwangbj@126.com

Cite this article:

Wang Can-Jun (王参军) Effects of non-Gaussian noise on the dynamical properties of a logistic system 2013 Chin. Phys. B 22 060502

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Effects of non-Gaussian noise on the dynamical properties of a logistic system

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