A stage-structured Holling mass defence predator-prey model with impulsive perturbations on predators. (English) Zbl 1117.92053

Summary: We consider a stage-structured Holling mass defence predator-prey model with time delay and impulsive transmitting on predators. Sufficient conditions which guarantee the global attractivity of pest-extinction periodic solutions and permanence of the system are obtained. We also prove that all solutions of the system are uniformly ultimately bounded. Our results provide a reliable tactic basis for practical pest management.


92D40 Ecology
34K60 Qualitative investigation and simulation of models involving functional-differential equations
34K20 Stability theory of functional-differential equations
37N25 Dynamical systems in biology
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