publication . Research . 2014

Global asymptotic stability for a nonautonomous Lotka-Volterra competition system

TANIGUCHI, Kunihiko;
Open Access English
  • Published: 01 Jan 2014 Journal: Toyama mathematical journal, volume 36, pages 1-14 (issn: 1880-6015, Copyright policy)
  • Publisher: Dept. of Mathematics, Faculty of Science, University of Toyama
Abstract
We consider nonautonomous N-dimensional generalized Lotka-Volterra competition systems. Under certain conditions we show that there exists a unique solution u* whose components are bounded above and below by positive constants on R, and u* attracts any solution. If such system is periodic, so is u*.
Subjects
arXiv: Quantitative Biology::Populations and EvolutionNonlinear Sciences::Exactly Solvable and Integrable Systems
free text keywords: Lotka-Volterra systems, Nonautonomous system, competition system, permanence
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Research . 2014
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