Global asymptotical stability for a diffusive predator–prey system with Beddington–DeAngelis functional response and nonlocal delay

Abstract

A diffusive predator–prey system with Beddington–DeAngelis functional response and nonlocal delay is considered in this work. Sufficient conditions for the global asymptotical stability of the unique positive equilibrium of the system are derived by constructing new recurrent sequences which are different from Duque and Lizana’s paper and using an iterative method. It is shown that our result supplements and complements one of the main results of Duque and Lizana’s paper.