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

Abstract

In this paper, by using Mawhin’s continuation theorem of coincidence degree theory and some analytical approaches, we establish the existence of four positive almost periodic solutions for an impulsive non-autonomous two species almost periodic Lotka-Volterra predator-prey system with time delay and harvesting terms. Furthermore, our results improve the main results of paper [1]. An example is given to illustrate the effectiveness of our results.