|
|||||
|
|
| 分布时滞竞争模型的周期解 | |
| 引用本文： | 陈国利,徐瑞,刘启明. 分布时滞竞争模型的周期解[J]. 生物数学学报, 2004, 19(4): 385-394 |
| 作者姓名： | 陈国利 徐瑞 刘启明 |
| 作者单位： | 军械工程学院,数学教研室,河北,石家庄,050003 |
| 摘 要： | 研究了分布时滞竞争模型周期解，利用Gaines与Mawhin的重合度理论，通过构造恰当的Lyapunov函数得到模型正周期解的存在性、唯一性及全局稳定性。 |
| 关 键 词： | 竞争模型 分布时滞 周期解 全局稳定 |
Periodic Solutions of a Competitive Model with Distributed Time Delays |
|
| Abstract. Periodic Solutions of a Competitive Model with Distributed Time Delays[J]. Journal of Biomathematics, 2004, 19(4): 385-394 | |
| Authors: | Abstract |
| Abstract: | A periodic competitive model with distributed time delays is inves- tigated. By using Gaines and Mawhin's continuation theorem of coincidence degree theory and by means of a suitable Lyapunov functional, a set of easily verifiable suffi- cient conditions are derived for the existence, uniqueness and global stability of positive periodic solutions of the model. |
| Keywords: | Competitive model Distributed time delay Periodic solution Global stability |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ | |