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DOI QR Code

QUALITATIVE ANALYSIS OF A LOTKA-VOLTERRA TYPE IMPULSIVE PREDATOR-PREY SYSTEM WITH SEASONAL EFFECTS

  • Baek, Hun-Ki
  • Received : 2008.07.02
  • Accepted : 2008.08.25
  • Published : 2008.09.25

Abstract

We investigate a periodically forced Lotka-Volterra type predator-prey system with impulsive perturbations - seasonal effects on the prey, periodic releasing of natural enemies(predator) and spraying pesticide at the same fixed times. We show that the solutions of the system are bounded using the comparison theorems and find conditions for the stability of a stable prey-free solution and for the permanence of the system.

Keywords

Predator-prey model;Lotka-Volterra functional response;impulsive differential equation;Floquet theory

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