摘要
研究一类具有时滞的两种群的竞争系统且其中一种群带有阶段结构的数学模型.得到了该系统的持续性及正平衡点的局部、全局稳定的条件,并且讨论了阶段结构和时滞对该系统的影响.结果表明,在特定的条件下时滞能导致稳定的平衡点转变为不稳定的平衡点.
A mathematical model of two species competitive system with delay and stage structure is studied. The conditions for the permanence of the system, the local and global stability of the positive equilibrium are obtained, respectively. The effects on the system of the stage structure and delay is considered. It is shown that delay can cause a stable equilihrium to become unstable under some conditions.
出处
《信阳师范学院学报（自然科学版）》
CAS
北大核心
2007年第2期133-137,142,共6页
Journal of Xinyang Normal University(Natural Science Edition)
基金
Supported by the NSF of China(10471117)
the Henan Innovation Project for University Prominent Research Talents(2005KYCX017)
关键词
阶段结构
竞争系统
时滞
持续
stage structure
competitive system
delay
permanence
