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Zbl 1117.92053
Jiao, Jianjun; Meng, Xinzhu; Chen, Lansun
A stage-structured Holling mass defence predator-prey model with impulsive perturbations on predators. (English)
[J] Appl. Math. Comput. 189, No. 2, 1448-1458 (2007). ISSN 0096-3003

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 2000:: *92D40 Ecology
34K60 Applications of functional-differential equations
34K20 Stability theory of functional-differential equations
37N25 Dynamical systems in biology

Keywords: Stage-structured; time delay; impulsive; global attractivity; permanence; pest-extinction

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Zentralblatt MATH Berlin [Germany]