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

被引：0
|
作者：
Shan-Shan Pan
Wei-Qiu Zhu
机构：
[1] DepartmentofMechanics,StateKeyLabofFluidPowerTransmissionandControl,ZhejiangUniversity
来源：
Acta Mechanica Sinica | 2014年 / 05期
关键词：
Prey-predator ecosystem; Poisson white noise; Stochastic averaging; Approximate stationary solution; Perturbation method;
D O I：
暂无
中图分类号：
O175 [微分方程、积分方程];
学科分类号：
070104 ;
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 Ito 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 ε2s 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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