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.
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.
出处
《数学的实践与认识》
CSCD
北大核心
2008年第3期62-66,共5页
Mathematics in Practice and Theory
基金
山西省自然科学基金(2007011019)
关键词
阶段结构
竞争系统
持久性
全局渐近稳定
permanence
stage-structure
competitive system
global asymptotic stability
