Open Access
July 2012 Permanence and global asymptotic stability for a generalized nonautonomous Lotka-Volterra competition system
Kunihiko Taniguchi
Hiroshima Math. J. 42(2): 189-208 (July 2012). DOI: 10.32917/hmj/1345467070

Abstract

Under certain conditions we show that such systems are weakly permanent or permanent and for two solutions $u$ and $v$ of such systems, the difference $u-v$ tends to zero at the infinity. Our results give generalizations of previous ones.

Citation

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Kunihiko Taniguchi. "Permanence and global asymptotic stability for a generalized nonautonomous Lotka-Volterra competition system." Hiroshima Math. J. 42 (2) 189 - 208, July 2012. https://doi.org/10.32917/hmj/1345467070

Information

Published: July 2012
First available in Project Euclid: 20 August 2012

zbMATH: 1259.34038
MathSciNet: MR2978302
Digital Object Identifier: 10.32917/hmj/1345467070

Subjects:
Primary: 34D05
Secondary: 92D25

Keywords: competition system , Lotka-Volterra systems , nonautonomous system , permanence

Rights: Copyright © 2012 Hiroshima University, Mathematics Program

Vol.42 • No. 2 • July 2012
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