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Zbl 1155.92355
Jiao, Jianjun; Chen, Lansun
Global attractivity of a stage-structure variable coefficients predator-prey system with time delay and impulsive perturbations on predators. (English)
[J] Int. J. Biomath. 1, No. 2, 197-208 (2008). ISSN 1793-5245; ISSN 1793-7159/e

Summary: We consider a delayed stage-structured variable coefficients predator-prey system with impulsive perturbations on predators. By using the discrete dynamical system determined by the stroboscopic map and the standard comparison theorem, we obtain sufficient conditions which guarantee the global attractivity of prey-extinction periodic solutions of the investigated system. 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
34K45 Equations with impulses
34K20 Stability theory of functional-differential equations

Keywords: global attractivity; pre-extinction

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Zentralblatt MATH Berlin [Germany]