[1]汪东树,王全义.一类具多时滞和脉冲Lotka-Volterra竞争系统的正周期解[J].华侨大学学报(自然科学版),2011,32(5):592-596.[doi:10.11830/ISSN.1000-5013.2011.05.0592]
　WANG Dong-shu,WANG Quan-yi.Positive Periodic Solutions of a Lotka-Volterra Competition System with Impulses and Several Delays[J].Journal of Huaqiao University(Natural Science),2011,32(5):592-596.[doi:10.11830/ISSN.1000-5013.2011.05.0592]
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一类具多时滞和脉冲Lotka-Volterra竞争系统的正周期解()
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《华侨大学学报（自然科学版）》[ISSN:1000-5013/CN:35-1079/N]

卷:
第32卷
期数:
2011年第5期
页码:
592-596
栏目:
出版日期:
2011-09-20

文章信息/Info

Title:
Positive Periodic Solutions of a Lotka-Volterra Competition System with Impulses and Several Delays
文章编号:
1000-5013(2011)05-0592-05
作者:
汪东树; 王全义
华侨大学数学科学学院
Author(s):
WANG Dong-shu;  WANG Quan-yi
School of Mathematical Sciences, Huaqiao University, Quanzhou 362021, China
关键词:
Lotka-Volterra;  竞争系统;  时滞;  脉冲;  周期解;  重合度理论
Keywords:
delay;  impulse;  positive periodic solution;  coincidence degree theory
分类号:
O175.6
DOI:
10.11830/ISSN.1000-5013.2011.05.0592
文献标志码:
A
摘要:
研究一类具有脉冲和多时滞的非自治周期Lotka-Volterra竞争系统.利用一些分析技巧和重合度理论,得出脉冲对该系统的正周期解存在是有影响的.将所得到的结果应用到Fan Meng等和Li Mei-li等研究的具时滞的两种群竞争系统的正周期解存在性问题中,得出不同的新结果.
Abstract:
A non automomous periodic Lotka-Volterra competition system with impulses and several delays is investigated.By means of coindence degree theory and some analysis techniques,we obtain that the impulses will influence on the existence of positive periodic solutions of the system.Moreover,we deduce some new criteria for the existence of positive periodic solutions of the two-species comptition system with delays studied by Fan Meng,et al and Li Mei-li,et al respectively,our results improve and give some supplement for those obtained by research of Fan Meng,et al and Li Mei-li,et al.

参考文献/References:

[1] FAN Meng, WANG Ke, JIANG Da-qing. Existence and global attractivity of positive periodic solutions of periodic n-species Lotka-Volterra competition systems with several deviating arguments [J]. Mathematical Biosciences, 1999(1):47-61.doi:10.1016/S0025-5564(99)00022-X.
[2] LI Mei-li, DUAN Yong-rui, ZHANG Wei-ping. The existence of positive periodic solutions of a class of LotkaVolterra type impulsive system with infinitely distribute delay [J]. Computers and Mathematics with Applications, 2005, (7/8):1037-1044.
[3] GAINES R E, MAWHIN J L. Coincidence degree and nonlinear differential equations [M]. Beilin:Springer-Verlag, 1977.40-60.
[4] 汪东树, 王全义. 一类具时滞和比率的扩散系统正周期解 [J]. 华侨大学学报(自然科学版), 2006(4):358-362.doi:10.3969/j.issn.1000-5013.2006.04.006.

备注/Memo

备注/Memo:
国务院侨办科研基金资助项目(09QZR10); 福建省自然科学基金资助项目(Z0511026)
更新日期/Last Update: 2014-03-23