Moment stability for a predator-prey model with parametric dichotomous noises

doi:10.1088/1674-1056/24/6/060502

Abstract In this paper, we investigate the solution moment stability for a Harrison-type predator–prey model with parametric dichotomous noises. Using the Shapiro–Loginov formula, the equations for the first-order and second-order moments are obtained and the corresponding stable conditions are given. It is found that the solution moment stability depends on the noise intensity and correlation time of noise. The first-order and second-order moments become unstable with the decrease of correlation time. That is, the dichotomous noise can improve the solution moment stability with respect to Gaussian white noise. Finally, some numerical results are presented to verify the theoretical analyses.

Keywords: dichotomous noise a Harrison-type predator-prey model moment stability

Received: 06 October 2014
Revised: 07 January 2015
Accepted manuscript online:

PACS:	05.40.-a	(Fluctuation phenomena, random processes, noise, and Brownian motion)
	02.50.-r	(Probability theory, stochastic processes, and statistics)

Fund: Project supported by the National Natural Science Foundation of China (Grant No. 11272051).

Corresponding Authors: Jin Yan-Fei
E-mail: jinyf@bit.edu.cn

About author: 05.40.-a; 02.50.-r

Cite this article:

Jin Yan-Fei (靳艳飞) Moment stability for a predator-prey model with parametric dichotomous noises 2015 Chin. Phys. B 24 060502

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Moment stability for a predator-prey model with parametric dichotomous noises

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