Qualitative analysis of Beddington-DeAngelis type impulsive predator-prey models

摘要

In the paper, the impulsive predator-prey models with Beddington-DeAngelis functional response are studied. Conditions for the existence and stability of a prey-free solution and for the existence of a nontrivial periodic solution have been established. Also, we find a sufficient condition that the model is permanent and show that the model has complex dynamical behaviors via bifurcation diagrams.