Almost periodic solution of a modified Leslie-Gower predator-prey model with Beddington-DeAngelis functional response and feedback controls

Abstract

We consider a modified Leslie-Gower predator-prey model with the Beddington-DeAngelis functional response and feedback controls as follows: x ̇ t = x t a 1 t - b t x t - c t y t / α t + β t x t + γ t y t - e 1 t u t, u ̇ t = - d 1 t u t + p 1 t x t - τ, y ̇ t = y t a 2 t - r t y t / x t + k t - e 2 t t, and ̇ (t) = - d 2 (t) (t) + p 2 (t) y (t - τ). Sufficient conditions which guarantee the permanence and existence of a unique globally attractive positive almost periodic solution of the system are obtained. © 2014 Kerong Zhang et al.