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

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

中国物理B ›› 2013, Vol. 22 ›› Issue (6): 60502-060502.doi: 10.1088/1674-1056/22/6/060502

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

王参军

Nonlinear Research Institute, Baoji University of Arts and Sciences, Baoji 721016, China

收稿日期:2012-09-15 修回日期:2012-12-07 出版日期:2013-05-01 发布日期:2013-05-01
基金资助:
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).

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

Wang Can-Jun (王参军)

Nonlinear Research Institute, Baoji University of Arts and Sciences, Baoji 721016, China

Received:2012-09-15 Revised:2012-12-07 Online:2013-05-01 Published:2013-05-01
Contact: Wang Can-Jun E-mail:cjwangbj@126.com
Supported by:
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).

摘要/Abstract

摘要： 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.

关键词: logistic growth system, non-Gaussian noise, dynamical properties

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.

Key words: logistic growth system, non-Gaussian noise, dynamical properties

中图分类号: (Fluctuation phenomena, random processes, noise, and Brownian motion)

05.40.-a

王参军. Effects of non-Gaussian noise on the dynamical properties of a logistic system[J]. 中国物理B, 2013, 22(6): 60502-060502.

Wang Can-Jun (王参军). Effects of non-Gaussian noise on the dynamical properties of a logistic system[J]. Chin. Phys. B, 2013, 22(6): 60502-060502.

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

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

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