An impulsive predator–prey system with modified Leslie–Gower and Holling type II schemes

Hongjian Guo and Xinyu Song

Chaos, Solitons & Fractals, 2008, vol. 36, issue 5, 1320-1331

Abstract: An impulsive predator–prey system with modified Leslie–Gower and Holling-type II schemes is presented. By using the Floquet theory of impulsive equation and small amplitude perturbation method, the globally asymptotical stability of prey-free positive periodic solution and the permanence of system are discussed. The corresponding threshold conditions are obtained respectively. Finally, numerical simulations are given.

Date: 2008
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:36:y:2008:i:5:p:1320-1331

DOI: 10.1016/j.chaos.2006.08.010

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