2016•Mathematica SlovacaRequires access

Persistence and extinction of a stochastic delay predator-prey model in a polluted environment

Zhenhai Liu, Qun Liu

Abstract

Abstract In this paper, we study a stochastic delay predator-prey model in a polluted environment. Sufficient criteria for extinction and non-persistence in the mean of the model are obtained. The critical value between persistence and extinction is also derived for each population. Finally, some numerical simulations are provided to support our main results.

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Available abstract

Key concepts: Extinction (optical mineralogy), Persistence (discontinuity), Mathematics, Predation, Predator, Stochastic modelling, Applied mathematics, Population