[1]张志敏.一类非自治差分竞争系统的绝灭性和稳定性[J].延边大学学报(自然科学版),2017,43(02):104-109.
　ZHANG Zhimin.Extinction and stability in a nonautonomous difference competitive system[J].Journal of Yanbian University,2017,43(02):104-109.
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一类非自治差分竞争系统的绝灭性和稳定性

《延边大学学报(自然科学版)》[ISSN:1004-4353/CN:22-1191/N] 卷: 第43卷 期数: 2017年02期 页码: 104-109 栏目: 基础科学研究 出版日期: 2017-07-20
Title:
Extinction and stability in a nonautonomous difference competitive system
作者:
张志敏
阳光学院 基础教研部, 福建 福州 350015
Author(s):
ZHANG Zhimin
Department of Basic Teaching and Research, Yango University, Fuzhou 350015, China
关键词:
非自治差分竞争系统;  绝灭性;  稳定性
Keywords:
nonautonomous difference competitive system;  extinction;  stability
分类号:
O175.14
文献标志码:
A
摘要:
在一类非自治差分竞争系统中,通过构造适当的Lyapunov绝灭函数,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.本文所得结果补充了文献[1]的结果.
Abstract:
In a nonautonomous difference competitive system, sufficient conditions which guarantee the extinction of species and the stability property of another species are obtain by constructing some suitable Lyapunov type extinction functions. The results supplement the results of literature [1].

参考文献/References:

[1] 付贞文,向会立.一类非自治差分竞争系统的持久性及正周期解的全局渐近稳定性[J].湖北民族学院学报(自然科学版),2013,31(3):267-270.
[2] 唐帆,刘志军.一类具有反馈控制的概周期时滞差分竞争系统(英文)[J].生物数学学报,2016,31(1):28-46.
[3] 余胜斌.具反馈控制和时滞的离散竞争系统的持久性[J].皖西学院学报,2017,33(2):38-41.
[4] Li Z, Chen F D. Extinction in two dimensional discrete Lotka-Volterra competitive system with the effect of toxic substances[J]. Dyn Contin Discrete Impul Syst, Ser B, Appli Algorithms, 2008,15(2):165-178.
[5] Chen F D, Gong X J, Chen W L. Extinction in two dimensional discrete Lotka-Volterra competitive system with the effect of toxic substances(II)[J]. Dyn Contin Discrete Impuls Syst, Ser B, Appl Algorithms, 2013,20(4/5):449-461.
[6] 余胜斌.一类离散非自治竞争系统的绝灭性和稳定性[J].延边大学学报(自然科学版),2015,41(4):279-284.
[7] 余胜斌.具毒素影响的连续型竞争系统的绝灭性和稳定性[J].延边大学学报(自然科学版),2016,42(3):196-202.
[8] Chen F D, Xie X D, Miao Z S, et al. Extinction in two species nonautonomous nonlinear competitive system[J]. Applied Mathematics and Computation, 2016,274(1):119-124.
[9] 余胜斌.一类连续型非自治竞争系统的绝灭性和稳定性[J].宁夏大学学报(自然科学版),2016,37(4):400-404.
[10] Chen F D. Permanence for the discrete mutualism model with time delays[J]. Mathematical and Computer Modelling, 2008,47(3/4):431-435.

相似文献/References:

[1]余胜斌.一类离散非自治竞争系统的绝灭性和稳定性[J].延边大学学报(自然科学版),2015,41(04):279.
　YU Shengbin.Extinction and stability in a class of discrete non-autonomous competition system[J].Journal of Yanbian University,2015,41(02):279.
[2]余胜斌.具毒素影响的连续型竞争系统的绝灭性和稳定性[J].延边大学学报(自然科学版),2016,42(03):196.
　YU Shengbin.Extinction and stability in a continuous competitive system with the effect of toxic substances[J].Journal of Yanbian University,2016,42(02):196.

备注/Memo

收稿日期: 2017-05-29 基金项目: 福建省教育厅A类项目(JA13365)
作者简介: 张志敏(1983—),女,讲师,研究方向为微分方程.

更新日期/Last Update: 2017-06-20