The Stochastic stability of a Logistic model with Poisson white noise

被引：15

作者：

Duan Dong-Hai ^{[1
]}

Xu Wei ^{[1
]}

Su Jun ^{[2
]}

Zhou Bing-Chang ^{[1
]}

机构：

[1] Northwestern Polytech Univ, Dept Appl Math, Xian 710072, Peoples R China

[2] Xian Univ Sci & Technol, Sch Sci, Xian 710054, Peoples R China

来源：

CHINESE PHYSICS B | 2011年 / 20卷 / 03期

基金：

中国国家自然科学基金;

关键词：

Poisson white noise; Ito formula; Lyapunov exponent; stochastic bifurcation; LYAPUNOV EXPONENTS; NONLINEAR-SYSTEMS; DYNAMIC-SYSTEMS; BIFURCATION; NETWORK; VAN;

D O I：

10.1088/1674-1056/20/3/030501

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The stochastic stability of a logistic model subjected to the effect of a random natural environment, modeled as Poisson white noise process, is investigated. The properties of the stochastic response are discussed for calculating the Lyapunov exponent, which had proven to be the most useful diagnostic tool for the stability of dynamical systems. The generalised Ito differentiation formula is used to analyse the stochastic stability of the response. The results indicate that the stability of the response is related to the intensity and amplitude distribution of the environment noise and the growth rate of the species.

引用

页数：5

共 20 条

[1]

Arnold L, 1998, Random dynamical systems

[2] Fluctuations and pseudo long range dependence in network flows: A non-stationary Poisson process model [J].

Chen Yu-Dong ;

Li Li ;

Zhang Yi ;

Hu Jian-Ming .

CHINESE PHYSICS B, 2009, 18 (04) :1373-1379

[3] Path integral solution for non-linear system enforced by Poisson White Noise [J].

Di Paola, M. ;

Santoro, R. .

PROBABILISTIC ENGINEERING MECHANICS, 2008, 23 (2-3) :164-169

[4] Stochastic resonance in a parallel array of linear elements [J].

Dong Xiao-Juan .

CHINESE PHYSICS B, 2009, 18 (01) :70-75

[5] Lyapunov exponents for nonlinear systems with Poisson white noise [J].

Grigoriu, M .

PHYSICS LETTERS A, 1996, 217 (4-5) :258-262

[6] Dynamic systems with Poisson white noise [J].

Grigoriu, M .

NONLINEAR DYNAMICS, 2004, 36 (2-4) :255-266

[7]

Grigoriu M, 2002, STOCHASTIC CALCULUS: APPLICATIONS IN SCIENCE AND ENGINEERING, P1

[8] Response of dynamic systems to Poisson white noise [J].

Grigoriu, M .

JOURNAL OF SOUND AND VIBRATION, 1996, 195 (03) :375-389

[9] Stochastic resonance in a stochastic bistable system with additive noises and square-wave signal [J].

Guo Feng ;

Luo Xiang-Dong ;

Li Shao-Fu ;

Zhou Yu-Rong .

CHINESE PHYSICS B, 2010, 19 (08)

[10] Stochastic resonance in a time-delayed asymmetric bistable system with mixed periodic signal [J].

Guo Yong-Feng ;

Xu Wei ;

Wang Liang .

CHINESE PHYSICS B, 2010, 19 (04)

← 1 2 →