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. 2014 Apr;11(2):167-88.
doi: 10.3934/mbe.2014.11.167.

A non-autonomous stochastic predator-prey model

Aniello Buonocore  1 , Luigia Caputo, Enrica Pirozzi, Amelia G Nobile
Affiliations
Free article

A non-autonomous stochastic predator-prey model

Aniello Buonocore et al. Math Biosci Eng. 2014 Apr.
Free article

Abstract

The aim of this paper is to consider a non-autonomous predator-prey-like system, with a Gompertz growth law for the prey. By introducing random variations in both prey birth and predator death rates, a stochastic model for the predator-prey-like system in a random environment is proposed and investigated. The corresponding Fokker-Planck equation is solved to obtain the joint probability density for the prey and predator populations and the marginal probability densities. The asymptotic behavior of the predator-prey stochastic model is also analyzed.

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