Periodic solutions for a Lotka–Volterra mutualism system with several delays
- 作者：Yonghui Xia ; Jinde Cao ; Sui Sun Cheng
- 关键词：Periodic solutions ; Coincidence degree ; Mutualism model
- 刊名：Applied Mathematical Modelling
- 出版年：2007
- 期刊代码：6_0307904x
- 类别：cp
- 出版时间：September 2007
- 卷：31
- 期：9
- 页码：1960-1969
- 文件大小：207 K
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 mutualism 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].