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具有阶段结构的竞争系统的持久性和稳定性
引用本文:王建军,仉志余.具有阶段结构的竞争系统的持久性和稳定性[J].数学的实践与认识,2008,38(3):62-66.
作者姓名:王建军  仉志余
作者单位:太原工业学院,基础部,山西,太原,030008
摘    要:研究带有时滞和成长阶段的两种群竞争模型,第一个种群分成年和幼年两个阶段,第二个种群不具有阶段结构.本文证明了系统正解的有界性;利用比较原理得到了系统永久生存的充分条件;通过构造Lyapunov函数得到了系统全局渐近稳定的充分条件.

关 键 词:阶段结构  竞争系统  持久性  全局渐近稳定
修稿时间:2007年4月3日

Permanence and Stability of a two Species Competitive System with Stage Structure
WANG Jian-jun,ZHANG Zhi-yu.Permanence and Stability of a two Species Competitive System with Stage Structure[J].Mathematics in Practice and Theory,2008,38(3):62-66.
Authors:WANG Jian-jun  ZHANG Zhi-yu
Abstract:A stage-structure competitive system of two species with delays is proposed and analyzed,where the species one has two stages,a immature stage and a mature stage;the species two has not stage-structure.Mathematical analysis of the model with regard to boundedness of positive solutions is analyzed.By means of comparison principle,some sufficient conditions which guarantee the permanence of the system areobtained.Moreover,by using Lyapunov function,some sufficient conditions for global asymptotic stability of the system are investigated.
Keywords:permanence  stage-structure  competitive system  global asymptotic stability
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