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

TL;DR

This paper analyzes a predator-prey model incorporating modified Leslie-Gower and Holling type II schemes with time-dependent delays, establishing conditions for the existence and stability of pseudo almost periodic solutions through analytical and numerical methods.

Contribution

It introduces a new predator-prey model with time-dependent delays and proves the existence and global attractivity of pseudo almost periodic solutions.

Findings

Existence of pseudo almost periodic solutions is established.

Sufficient conditions for global attractivity are derived.

Numerical examples confirm theoretical results.

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.