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| 具有连续时滞和功能性反应的非自治竞争系统的持续生存 | |
| 引用本文： | 严建明,张弘,罗桂烈.具有连续时滞和功能性反应的非自治竞争系统的持续生存[J].数学研究,2007,40(2):152-158. |
| 作者姓名： | 严建明 张弘 罗桂烈 |
| 作者单位： | 1. 湖南财经高等专科学校基础课部,湖南,长沙,410205 2. 江苏大学数学系,江苏,镇江,212013 3. 广西师范大学数学与计算机科学学院,广西,桂林,541004 |
| 基金项目： | 国家自然科学基金;广西自然科学基金青年基金 |
| 摘 要： | 本文利用Lyapunov-Razumikhin理论讨论了具有连续时滞和Ⅱ类功能性反应的非自治扩散竞争系统．此系统有两个种群n个斑块，其中一个种群可以在n个斑块中自由扩散，另一种群被限定在一斑块中不能扩散．当系数满足一定的条件时，证明了系统是持续生存的，此外，给出了该系统的一周期解全局吸引的充分条件． |
| 关 键 词： | 竞争系统 周期解 持续性 全局吸引性 |
| 修稿时间： | 2004-07-17 |
Persistence of Nonautonomous Competition System with Continuous Time Delay and Functional Responce |
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| Yan Jianming,Zhang Hong,Luo Guilie.Persistence of Nonautonomous Competition System with Continuous Time Delay and Functional Responce[J].Journal of Mathematical Study,2007,40(2):152-158. | |
| Authors: | Yan Jianming Zhang Hong Luo Guilie |
| Institution: | 1. Dept. of Basic Subject, Hunan College of Finance and Economics Changsha 410205; 2. Dept. of Math. , Jiangsu University, Zhenjiang, Jiangsu 212013; 3. Dept. of Math. and Comp Sci. , Guangxi Normal Univ, Guilin, Guangxi 541004 |
| Abstract: | In this paper, a nonautonomous diffusion competition system with continuous time delay and I type functional response is studied by employing the Lyapunov-Razumikhin technique. There are two species and n patches in the system, one of the two species can diffuse between n patches, and the other is confined to one patch. It is proved that the system can be persistent under some conditions. Furthermore, sufficient conditions are established for global attractivity of a periodic solution of the system. |
| Keywords: | Competition system periodic solution persistence global attractivity |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ | |