A NON-AUTONOMOUS STOCHASTIC PREDATOR-PREY MODEL

作者：Buonocore Aniello^*; Caputo Luigia; Pirozzi Enrica; Nobile Amelia G

来源：Mathematical Biosciences and Engineering, 2014, 11(2): 167-188.

DOI：10.3934/mbe.2014.11.167

• Predator-prey system
• stochastic model
• probability densities
• asymptotic behavior

The aim of this paper is to consider a non-autonomous predator-prey-like system, with a Compertz 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.

• 出版日期2014-4