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

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

中国物理B ›› 2015, Vol. 24 ›› Issue (6): 60502-060502.doi: 10.1088/1674-1056/24/6/060502

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

靳艳飞

Department of Mechanics, Beijing Institute of Technology, Beijing 100081, China

收稿日期:2014-10-06 修回日期:2015-01-07 出版日期:2015-06-05 发布日期:2015-06-05
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No. 11272051).

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

Jin Yan-Fei (靳艳飞)

Department of Mechanics, Beijing Institute of Technology, Beijing 100081, China

Received:2014-10-06 Revised:2015-01-07 Online:2015-06-05 Published:2015-06-05
Contact: Jin Yan-Fei E-mail:jinyf@bit.edu.cn
About author:05.40.-a; 02.50.-r
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 11272051).

摘要/Abstract

摘要： 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.

关键词: dichotomous noise, a Harrison-type predator-prey model, moment stability

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.

Key words: dichotomous noise, a Harrison-type predator-prey model, moment stability

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

05.40.-a

02.50.-r (Probability theory, stochastic processes, and statistics)

靳艳飞. Moment stability for a predator-prey model with parametric dichotomous noises[J]. 中国物理B, 2015, 24(6): 60502-060502.

Jin Yan-Fei (靳艳飞). Moment stability for a predator-prey model with parametric dichotomous noises[J]. Chin. Phys. B, 2015, 24(6): 60502-060502.

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

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

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