Periodicity and Permanence of a Discrete Impulsive Lotka-Volterra Predator-Prey Model Concerning Integrated Pest Management

Chang Tan and Jun Cao

Discrete Dynamics in Nature and Society, 2013, vol. 2013, 1-10

Abstract:

By piecewise Euler method, a discrete Lotka-Volterra predator-prey model with impulsive effect at fixed moment is proposed and investigated. By using Floquets theorem, we show that a globally asymptotically stable pest-eradication periodic solution exists when the impulsive period is less than some critical value. Further, we prove that the discrete system is permanence if the impulsive period is larger than some critical value. Finally, some numerical experiments are given.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:767526

DOI: 10.1155/2013/767526

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