Permanence of a stage-structured predator–prey system with impulsive stocking prey and harvesting predator

摘要

In this paper we propose a stage-structured predator prey system with impulsive stocking immature prey and harvesting predator at different moment. We analyze the global attractivity of the mature prey-extinction periodic solution, and obtain sufficient conditions for the permanence of the system. Numerical simulations are also inserted to verify the feasibility of the theoretical results. Moreover, the obtained results show that impulsive stocking immature prey or harvesting predator may play a key role on the permanence of the system and provide tactical basis for the biological resources management.