Abstract:In this paper, a delayed Gompertz model with Holling-IV type function response and impulsive effects at different moment on the prey is proposed. By using impulsive comparison theorem, the stroboscopic mapping and some analysis techniques, the existence and global attractivity of the predator-extinction periodic solution are investigated. Sufficient conditions of the permanence of this system are also obtained. Examples and numerical simulations are shown to verify the validity of our results.
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