4.7 Article

Permanence and global attractivity of a discrete multispecies Lotka-Volterra competition predator-prey systems

Journal

APPLIED MATHEMATICS AND COMPUTATION
Volume 182, Issue 1, Pages 3-12

Publisher

ELSEVIER SCIENCE INC
DOI: 10.1016/j.amc.2006.03.026

Keywords

non-autonomous; Lotka-Volterra competition predator prey systems; positive periodic solutions discrete; permanence; global attractivity

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In this paper, we propose a discrete multispecies Lotka-Volterra competition predator-prey systems. For general non-autonomous case. sufficient conditions which ensure the permanence and the global stability of the system are obtained; for periodic case, sufficient conditions which ensure the existence of a globally stable positive periodic solution of the system are obtained. (c) 2006 Elsevier Inc. All rights reserved.

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