A delayed stage-structured Holling II predator–prey model with mutual interference and impulsive perturbations on predator

Jianjun Jiao, Lansun Chen and Shaohong Cai

Chaos, Solitons & Fractals, 2009, vol. 40, issue 4, 1946-1955

Abstract: In this work, we investigate a delayed stage-structured Holling II predator–prey model with mutual interference and impulsive perturbations on predator. Sufficient conditions of the global attractivity of prey-extinction periodic solution and the permanence of the system are obtained. We also prove that all solutions of the system are uniformly ultimately bounded. Our results provide reliable tactical basis for the practical pest management.

Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:40:y:2009:i:4:p:1946-1955

DOI: 10.1016/j.chaos.2007.09.074

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