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Analysis of an Impulsive Predator-Prey System with Monod-Haldane Functional Response and Seasonal Effects

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  • Hunki Baek
  • Younghae Do
  • Yasuhisa Saito

Abstract

For a class of impulsive predator-prey systems with Monod-Haldane functional response and seasonal effects, we investigate conditions for the local and global stabilities of prey-free solutions and for the permanence of the system by using the Flquet theory of impulsive differential equations and comparison techniques. In addition, we numerically analyze the phenomena caused by seasonal effects and impulsive perturbation. It will be applicable to the controllability for the population of prey and predator.

Suggested Citation

  • Hunki Baek & Younghae Do & Yasuhisa Saito, 2009. "Analysis of an Impulsive Predator-Prey System with Monod-Haldane Functional Response and Seasonal Effects," Mathematical Problems in Engineering, Hindawi, vol. 2009, pages 1-16, July.
    • Handle: RePEc:hin:jnlmpe:543187
    DOI: 10.1155/2009/543187
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