A non-autonomous stochastic predator-prey model.
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.
Dipartimento di Matematica e Applicazioni "R. Caccioppoli", Universita di Napoli Federico II, Via Cintia, 80126 Napoli, Italy. aniello.buonocore@unina.it.
Aniello
A
Buonocore
Luigia
L
Caputo
Enrica
E
Pirozzi
Amelia G
AG
Nobile
D000818:Animals; D017753:Ecosystem; D008962:Models, Theoretical; D011156:Population Density; D011235:Predatory Behavior; D013269:Stochastic Processes