Dynamics of a periodic switched predator–prey system with hibernation, birth pulse and impulsive harvesting

Abstract

In this work, a periodic impulsive switched system is employed to describe the effect of impulsive birth and harvesting on predator–prey dynamics with hibernation in prey population. We show that if some conditions are satisfied, the predator-extinction boundary periodic solution of the investigated system is the globally asymptotically stable. We also show that if one certain condition is satisfied, the investigated system is permanent. Finally, the numerical analysis are also employed to illustrate the results. Our results provide a strategic decision for the biological economics management.