Dynamics of a prey-predator system under Poisson white noise excitation

被引：8
作者：
Pan, Shan-Shan [1 ]
Zhu, Wei-Qiu [1 ]
机构：
[1] Zhejiang Univ, Dept Mech, State Key Lab Fluid Power Transmiss & Control, Hangzhou 310027, Zhejiang, Peoples R China
来源：
ACTA MECHANICA SINICA | 2014年 / 30卷 / 05期
基金：
中国国家自然科学基金;
关键词：
Prey-predator ecosystem; Poisson white noise; Stochastic averaging; Approximate stationary solution; Perturbation method;
D O I：
10.1007/s10409-014-0069-y
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
The classical Lotka-Volterra (LV) model is a well-known mathematical model for prey-predator ecosystems. In the present paper, the pulse-type version of stochastic LV model, in which the effect of a random natural environment has been modeled as Poisson white noise, is investigated by using the stochastic averaging method. The averaged generalized It stochastic differential equation and Fokker-Planck-Kolmogorov (FPK) equation are derived for prey-predator ecosystem driven by Poisson white noise. Approximate stationary solution for the averaged generalized FPK equation is obtained by using the perturbation method. The effect of prey self-competition parameter E >(2) s on ecosystem behavior is evaluated. The analytical result is confirmed by corresponding Monte Carlo (MC) simulation.
引用
收藏
页码：739 / 745
页数：7
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