[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):279-284.
　YU Shengbin.Extinction and stability in a class of discrete non-autonomous competition system[J].Journal of Yanbian University,2015,41(04):279-284.
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一类离散非自治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41卷 期数: 2015年04期 页码: 279-284 栏目: 基础科学研究 出版日期: 2015-12-20
Title:
Extinction and stability in a class of discrete non-autonomous competition system
文章编号:
1004-4353(2015)04-0279-06
作者:
余胜斌
阳光学院 基础教研部, 福建 福州 350015
Author(s):
YU Shengbin
Department of Basic Teaching and Research, Yango College, Fuzhou 350015, China
关键词:
竞争;  绝灭性;  稳定性;  离散;  非自治
Keywords:
competitive;  extinction;  stability;  discrete;  non-autonomous
分类号:
O175.14
文献标志码:
A
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.
Abstract:
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.

参考文献/References:

[1] Qin W J, Liu Z J, Chen Y P. Permanence and global stability of positive periodic solutions of a discrete competitive system[J]. Discrete Dynamics in Nature and Society, 2009(2009):Article ID 830537,13.
[2] Wang Q L, Liu Z J. Uniformly asymptotic stability of positive almost periodic solutions for a discrete competitive system[J]. Journal of Applied Mathematics, 2013(2013):Article ID 182158,9.
[3] Wang Q L, Liu Z J, Li Z X. Existence and global asymptotic stability of positive almost periodic solutions of a two-species competitive system[J]. International Journal of Biomathematics, 2014,7(4):1450040.
[4] Wang Q L, Liu Z J, Li Z X. Positive almost periodic solutions for a discrete competitive system subject to feedback controls[J]. Journal of Applied Mathematics, 2013(2013):Article ID 429163,14.
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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.
[7] Li 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.
[8] 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]. Dynamics of Continuous, Discrete and Impulsive Systems, Series B: Applications & Algorithms, 2013,20(4): 449-461.
[9] Chen L J, Chen F D. Extinction in a discrete Lotka-Volterra competitive system with the effect of toxic substances and feedback controls[J]. International Journal of Biomathematics, 2015,8(1):1550012(13).
[10] Chen F D. Permanence for the discrete mutualism model with time delays[J]. Mathematical and Computer Modelling, 2008,47(3):431-435.

相似文献/References:

[1]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(04):196.
[2]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.
　ZHANG Zhimin.Extinction and stability in a nonautonomous difference competitive system[J].Journal of Yanbian University,2017,43(04):104.

备注/Memo

基金项目: 福建省自然科学基金资助项目(2015J01012,2015J01019)
作者简介: 余胜斌(1984—),男,讲师,研究方向为生物数学.

更新日期/Last Update: 2015-12-20