Dynamics and oscillations of a predator prey model with modified Leslie Gower Holling type II schemes time dependent delays

Abstract

A predator prey system is investigated in this research, which is based on a modified version of the Leslie Gower scheme and a Holling-type II scheme with time dependent delays. Using Schauder's fixed point theorem, we studied the existence of pseudo almost periodic solution for the suggested model. Based on the suitable Lyapunov functional, sufficient conditions are established for the globally attractive pseudo almost periodic solution. At the end, two numerical examples are presented to demonstrate the effectiveness of our results.