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A non-autonomous stochastic predator-prey model
Aniello Buonocore1, Luigia Caputo, Enrica Pirozzi
1Dipartimento di Matematica e Applicazioni "R. Caccioppoli", Universita di Napoli Federico II, Via Cintia, 80126 Napoli, Italy. aniello.buonocore@unina.it.
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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