Periodic solutions for a Lotka-Volterra mutualism system with several delays

被引：20
|
作者：
Xia, Yonghui [1 ]
Cao, Jinde
Cheng, Sul Sun
机构：
[1] Fuzhou Univ, Coll Math & Comp Sci, Fuzhou 350002, Peoples R China
[2] SE Univ, Dept Math, Nanjing 210096, Peoples R China
[3] Natl Tsing Hua Univ, Dept Math, Hsinchu 30043, Taiwan
来源：
APPLIED MATHEMATICAL MODELLING | 2007年 / 31卷 / 09期
基金：
中国国家自然科学基金;
关键词：
periodic solutions; coincidence degree; mutualism model;
D O I：
10.1016/j.apm.2006.08.013
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
In the present paper, a Lotka-Volterra type mutualism system with several delays is studied. Some new and interesting sufficient conditions are obtained for the global existence of positive periodic solutions of the mutualism system. Our method is based on Mawhin's coincidence degree and novel estimation techniques for the a priori bounds of unknown solutions. Our results are different from the existing ones such as those in of Yang et al. [F. Yang, D. Jiang, A. Ying, Existence of positive solution of multidelays facultative mutualisin system, J. Eng. Math. 3 (2002) 64-68] and Chen et al. [F. Chen, J. Shi, X. Chen, Periodicity in a Lotka-Volterra facultative mutualism system with several delays, J. Eng. Math. 21(3) (2004) 403-409]. (C) 2006 Elsevier Inc. All rights reserved.
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页码：1960 / 1969
页数：10
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