Dynamical Behaviors of A Predator-prey Model with Impulsive Stocking Juvenile Predator and Continuous Harvesting Adult Predator

A predator-prey model with impulsive stocking juvenile predator and continuous harvesting adult predator is investigated. By the stroboscopic map of the discrete dynamical system, the prey-extinction boundary periodic solution of the investigated system is proved to be globally asymptotically stable. Employing the theory of impulsive differential equation, the investigated system is also proved to be permanent. Finally, the numerical analysis is inserted to illustrate the results. Our conclusions provide reliable tactical basis for the practical biological management.