引用本文:周志轩, 杨逢建, 将春玲.离散型二维竞争系统中某群体消亡的条件[J].西南师范大学学报(自然科学版),2018,43(11):13~17
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离散型二维竞争系统中某群体消亡的条件
周志轩, 杨逢建, 将春玲
广州大学 华软软件学院基础部, 广州 510990
摘要:
研究了离散型二维竞争系统的渐近稳定性,得到了这类竞争系统中各类平衡点的坐标及其性质,获得了系统在边界上的平衡点处渐近稳定的一系列充分条件.这些条件等价于该系统中的某个群体在竞争过程中消亡或被淘汰的相应条件.
关键词:  群体  竞争模型  渐近稳定性
DOI:10.13718/j.cnki.xsxb.2018.11.003
分类号:O175.13
基金项目:广州市教育科学规划课题(1201534308).
Extinction Conditions of Some Groups in a Discrete Competitive System of Two-Dimensional
ZHOU Zhi-xuan, YANG Feng-jian, JIANG Chun-ling
Basic Department of South China Institute of Software Engineering, Guangzhou University, Guangzhou 510990, China
Abstract:
The asymptotic stability of discrete two-dimensional competitive system has been discussed. The coordinates and properties of various types of equilibrium in such competition systems has been obtained. Some sufficient conditions of asymptotic stability for the equilibriums on border in such system has been obtained, which is equivalent to the conditions of extinction of some groups in this competitive system.
Key words:  group  competitive system  asymptotic stability
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