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Permanence for nonautonomous predator–prey Kolmogorov systems with impulses and its applications

Authors
Journal
Applied Mathematics and Computation
0096-3003
Publisher
Elsevier
Publication Date
Volume
223
Identifiers
DOI: 10.1016/j.amc.2013.07.093
Keywords
  • Impulsive
  • Kolmogorov System
  • Permanence
  • Predator–Prey
  • Functional Response System

Abstract

Abstract In this paper, the general impulsive non-autonomous predator–prey Kolmogorov system is studied. Some new criteria on the permanence and ultimate boundedness are established. As applications of these results, some special models are studied, such as a class of impulsive non-autonomous Lotka–Volterra systems, impulsive Holling I-type functional response systems, impulsive Holling (m,n)-type functional response systems, impulsive Beddington–DeAngelis functional response systems, Leslie–Gower functional response systems and chemostat-type systems.

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