J4 ›› 2010, Vol. 48 ›› Issue (03): 389-395.
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WANG Haifeng, TANG Qinggan
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On the basis of a stagestructured delayed predatorprey model, introducing the impulsive stocking prey, we improved the system. And the mathematical model has biological meanings. Based on the comparison theorem and periodic solution existing theorem of impulsive differential equations, sufficient conditions of the global attractivity of pestextinction boundary periodic solution and permanenc of the system were obtained. It was also proved that all the solutions of the system are uniformly ultimately bounded.
Key words: stagestructured, delayed, impulsive, uniform persistent, global attractivity
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WANG Hai-Feng, TANG Qing-An. Qualitative Analysis of a Delayed PredatorPrey-System with Impulsive Perturbations[J].J4, 2010, 48(03): 389-395.
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