Existence of multiple positive almost periodic solutions to an impulsive non-autonomous Lotka-Volterra predator-prey system with harvesting terms

Abstract

This paper is concerned with an almost periodic predator-prey system with impulsive non-autonomous Lotka-Volterra functional response and harvesting terms. By using Mawhins continuation theorem of coincidence degree theory and some analytical approaches, we establish the existence of eight positive almost periodic solutions for the system. Furthermore, our results improve the main results of paper [1]. An example is given to illustrate the effectiveness of our results.