Analysis of a stochastic predator-prey system with foraging arena scheme

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Abstract

This paper focuses on a predator-prey system with foraging arena scheme incorporating stochastic noises. This SDE model is generated from a deterministic framework by the stochastic parameter perturbation. We then study how the correlations of the environmental noises affect the long-time behaviours of the SDE model. Later on the existence of a stationary distribution is pointed out under certain parametric restrictions. Numerical simulations are carried out to substantiate the analytical results.
LanguageEnglish
Number of pages30
JournalStochastics: An International Journal of Probability and Stochastic Processes
Early online date10 May 2019
DOIs
Publication statusE-pub ahead of print - 10 May 2019

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Predator prey systems
Foraging
Predator-prey System
Stochastic Systems
Stochastic Perturbation
Parameter Perturbation
Long-time Behavior
Stationary Distribution
Restriction
Numerical Simulation
Computer simulation
Model
Framework

Keywords

  • stochastic predator-prey model
  • Brownian motion
  • asymptotic pathwise estimation
  • stationary distribution

Cite this

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title = "Analysis of a stochastic predator-prey system with foraging arena scheme",
abstract = "This paper focuses on a predator-prey system with foraging arena scheme incorporating stochastic noises. This SDE model is generated from a deterministic framework by the stochastic parameter perturbation. We then study how the correlations of the environmental noises affect the long-time behaviours of the SDE model. Later on the existence of a stationary distribution is pointed out under certain parametric restrictions. Numerical simulations are carried out to substantiate the analytical results.",
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AB - This paper focuses on a predator-prey system with foraging arena scheme incorporating stochastic noises. This SDE model is generated from a deterministic framework by the stochastic parameter perturbation. We then study how the correlations of the environmental noises affect the long-time behaviours of the SDE model. Later on the existence of a stationary distribution is pointed out under certain parametric restrictions. Numerical simulations are carried out to substantiate the analytical results.

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