Existence of Positive Periodic Solutions in a Non-selective Harvesting Impulsive Predator-prey System with Multiple Delays

Abstract

In this paper, we propose a non-selective harvesting impulsive predator-prey system with multiple delays. By applying the continuation theorem of coincidence degree theory, we establish a set of sufficient conditions on the existence of at least one positive periodic solution. The result not only improves but also generalizes that for the case with impulses. Some examples are provided to illustrate the result.