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...

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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
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description 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.
doi_str_mv 10.1007/s10409-014-0069-y
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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
title Dynamics of a prey-predator system under Poisson white noise excitation
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