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Global stability in Gilpin-Ayala competitive model with time delays
作者姓名:Cul  Jingan
作者单位:Department of Mathematics,Xinjiang University,Urumqi 830046,P. R. China
摘    要:1.IntroductionOneofthesimplestmodelsofthedynamicofn-interactingspecieshasbeenproposedbyVolterra(1931)4]intheformofanautonomoussytemofnordinarydifferentialequationswithquadraticnonlinearities,~Iwhereb.,a.,(i,j~l,2..-n)areconstantsandxi(t)denotesthepopulationsizeorbiomassofithspeciesattimet.Basedonalargenumberofexperimentalresults,GilpinandAyala3]proposedaslightlymoregeneralcompetitionsystemWherer,,k,,6.-,a,,(i.j~l,2...'.n)areconstants.System(1.2)isgeneralandhavetheLotka--Volterrasystem(1.I…


Global stability in Gilpin-Ayala competitive model with time delays
Cul Jingan.Global stability in Gilpin-Ayala competitive model with time delays[J].Journal of Xinjiang University(Science & Engineering),1997(3).
Authors:Cul Jingan
Abstract:In this paper,global stability ie studied in Gilpin-Ayala competitive population model with continuous time delays. The result constitute a generalization of Gopalsamy1].
Keywords:Glipin-Ayala competitive model time delay global stability
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