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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.
MSC:
92D40Ecology
34K60Qualitative investigation and simulation of models
34K20Stability theory of functional-differential equations
37N25Dynamical systems in biology