Dynamics of a pest management predator–prey model with stage structure and impulsive stocking

In this work, a pest management predator–prey model with stage structure on prey and impulsive stocking juvenile predator is investigated. By the stroboscopic map of the discrete dynamical system, the prey-extinction periodic solution of the investigated system is proved to be globally attractive. By the theory of impulsive and delay differential equation, the investigated system is also proved to be permanent. Finally, numerical analysis is inserted to illustrate the results. Our conclusions provide reliable tactical basis for the practical pest management.