Existence of positive periodic solutions for an impulsive semi-ratio-dependent predator–prey model with dispersion and time delays

摘要

In this paper, we propose an impulsive semi-ratio-dependent predator–prey model with dispersion and time 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 without pulses.