Abstract:

A stage-structured delayed predator-prey model with impulsive stocking of the prey and continuous harvesting by the predator was made. The bait has pulse depositing the stepped design time lag to prey on-the bait model, and according to the living resources management′s reality, improved the predatorprey model. A sufficient condition which guarantees the global attraction of the predator-exterminate periodic solution and permanence of the system, were obtained. The results show that the behavior of impulsive stocking of the prey plays an important role for the permanence of the continuous harvesting system, global attraction, permanence.

Key words:  stage-structured; impulsive stocking; continuous harvesting; global attractivity