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

doi:10.13718/j.cnki.xsxb.2018.11.003

西南师范大学学报(自然科学版)

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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. 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. doi: 10.13718/j.cnki.xsxb.2018.11.003

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. doi: 10.13718/j.cnki.xsxb.2018.11.003

ZHOU Zhi-xuan, YANG Feng-jian, JIANG Chun-ling. Extinction Conditions of Some Groups in a Discrete Competitive System of Two-Dimensional[J]. Journal of Southwest China Normal University(Natural Science Edition), 2018, 43(11): 13-17. doi: 10.13718/j.cnki.xsxb.2018.11.003

Citation:

ZHOU Zhi-xuan, YANG Feng-jian, JIANG Chun-ling. Extinction Conditions of Some Groups in a Discrete Competitive System of Two-Dimensional[J]. Journal of Southwest China Normal University(Natural Science Edition), 2018, 43(11): 13-17. doi: 10.13718/j.cnki.xsxb.2018.11.003

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

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

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.
- 群体 /
- 竞争模型 /
- 渐近稳定性
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.
- group /
- competitive system /
- asymptotic stability .

[1]	MAY R M.Biological Populations Obeying Difference Equations:Stable Points,Stable Cycles,and Chaos[J].Journal of Theoretical Biology,1975,51(2):511-524.
[2]	SO W H,YU J S.Global Stability in a Logistic Equation with Piecewise Constant Argument[J].Hokkaido Mathematical Journal,1995,24(2):269-286.
[3]	周展,庾建设. 非自治时滞差分方程的线性化渐近稳定性[J].数学年刊A辑(中文版),1998(3):301-308.
[4]	GYORI I,LADAS G.Oscillation Theory of Delay Differential Equations:with Applications[M].Oxford:Oxford University Press,1991.
[5]	杨逢建,罗毅平.具有可变时滞的非自治离散Logistic方程的全局吸引性[J].生物数学学报,2004,19(2):193-198.
[6]	杨逢建,雷友发.具有可变时滞的非线性非自治差分方程的振动性及其应用[J].系统科学与数学,2004,24(3):346-353.
[7]	余露. 基于逻辑方程的企业集群竞争模型及稳定性分析[J]. 商丘师范学院学报,2013,29(9):32-34.
[8]	MURRAY J D.Mathematical Biology[M].New York:Springer-Verlag,1993.
[9]	韩丽涛,原三领,马知恩.两种群相互竞争的SIRS传染病模型的稳定性[J].生物数学学报,2003,18(1):21-26.
[10]	杨逢建,张超龙. 离散型二维竞争系统的渐近稳定性[J].生物数学学报,2008,23(1):85-90.