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

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 in- vestigated by using the st...

Full description

Saved in:
Bibliographic Details
Published in:Acta mechanica Sinica 2014-10, Vol.30 (5), p.739-745
Main Authors: Pan, Shan-Shan, Zhu, Wei-Qiu
Format: Article
Language:English
Subjects:
Classical and Continuum Physics
Computational Intelligence
Computer simulation
Dynamical systems
Dynamics
Ecosystems
Engineering
Engineering Fluid Dynamics
Lotka-Volterra
Mathematical analysis
Mathematical models
Research Paper
Stochasticity
Theoretical and Applied Mechanics
White noise
力度
噪声激励
捕食系统
松
生态系统
随机平均法
随机微分方程
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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 in- vestigated by using the stochastic averaging method. The averaged generalized It6 stochastic differential equation and Fokkerlanck-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 e2s on ecosystem behavior is evaluated. The analytical result is confirmed by corresponding Monte Carlo （MC） simulation.
ISSN:0567-7718
1614-3116
DOI:10.1007/s10409-014-0069-y