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一类离散非自治竞争系统的绝灭性和稳定性 被引量：8

Extinction and stability in a class of discrete non-autonomous competition system
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摘要 通过构造适当的Lyapunov绝灭函数,研究了一类离散非自治竞争系统,得到了保证系统中某个种群绝灭和另外一个种群全局吸引的充分性条件,所得的结果补充了前人的工作. A class of discrete non-autonomous competitive system of two species is considered.By constructing some suitable Lyapunov type extinction functions,sufficient conditions which guarantee the extinction of species and the stability property of another species are obtain.The results supplement some known results.
作者 余胜斌
机构地区 阳光学院基础教研部
出处 《延边大学学报（自然科学版）》 CAS 2015年第4期279-284,共6页 Journal of Yanbian University（Natural Science Edition）
基金 福建省自然科学基金资助项目(2015J01012 2015J01019)
关键词 竞争 绝灭性 稳定性 离散 非自治 competitive extinction stability discrete non-autonomous
分类号 O175.14 [理学—基础数学]
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参考文献10

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  • 6陈凤德,赵亮.一类非自治两种群浮游生物相克模型的绝灭性[J].沈阳大学学报（自然科学版）,2014,26(1):1-3. 被引量：5
  • 7Li Z,Chen F D.Extinction in two dimensional discrete Lotka-Volterra competitive system with the effect of toxic substances[J].Dynamics of Continuous,Discrete and Impulsive Systems,Series B:Applications&Algorithms,2008,15(2):165-178.
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二级参考文献48

  • 1徐宝树,岳晓宁.一类带状态反馈捕食-食饵两种群功能性反应系统模型控制分析[J].沈阳大学学报,2005,17(6):82-85. 被引量：2
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共引文献18

同被引文献12

引证文献8

二级引证文献5

延边大学学报（自然科学版）
2015年 第4期

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