Stochastic predator–prey Lévy jump model with Crowley–Martin functional response and stage structure

Abstract

This paper investigates the dynamics of the stochastic predator–prey model with a Crowley–Martin functional response function driven by Levy noise. First, the existence, uniqueness and boundedness of a global positive solution is proven. Next, the persfor an optimal conditions. Finally, the theoretical results are reinforced by some numerical simulations. We illustrated the sufficient conditions to classify the dynamics of the stochastic predator–prey model.