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| 一类含扩散与时滞的竞争型Lotka-Volterra系统的周期解 | |
| 引用本文： | 宿娟,李树勇,韩天勇.一类含扩散与时滞的竞争型Lotka-Volterra系统的周期解[J].四川师范大学学报(自然科学版),2007,30(4):458-462. |
| 作者姓名： | 宿娟 李树勇 韩天勇 |
| 作者单位： | 1. 四川教育学院,数学系,四川,成都,610041 2. 四川师范大学,数学与软件科学学院,四川,成都,610066 3. 成都大学,信息科学技术学院,四川,成都,610106 |
| 基金项目： | 国家自然科学基金;四川省应用基础研究计划 |
| 摘 要： | 研究一类含扩散与周期时滞的生态模型,通过特征值问题以及模型自身的特点来构造上下解,应用比较原理得到了周期解存在与全局渐近稳定的一个充分条件. |
| 关 键 词： | 时滞 上下解 全局渐近稳定 周期解 |
| 文章编号： | 1001-8395（2007）04-0458-05 |
| 收稿时间： | 2005-11-01 |
| 修稿时间： | 2005-11-01 |
Periodic Solutions of Competitive Lotka-Volterra System With Discrete Delays and Diffusion |
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| SU Juan,LI Shu-yong,HAN Tian-yong.Periodic Solutions of Competitive Lotka-Volterra System With Discrete Delays and Diffusion[J].Journal of Sichuan Normal University(Natural Science),2007,30(4):458-462. | |
| Authors: | SU Juan LI Shu-yong HAN Tian-yong |
| Institution: | 1.Department of Mathematics, Sichuan College of Education, Chengdu 610041, Sichuan ; 2.College of Mathematics and Software Science, Sichuan Normal University, Chengdu 610066, Sichuan ; 3.School of Information Science and Technology, Chengdu University, Chengdu 610106, Sichuan |
| Abstract: | In this paper, competitive Lotka-Volterra system with discrete delays and diffusion is investigated. By using the T-upper and lower solutions of the system and the eigenvalue, it is proved that the T-periodic solutions exist and are globally asymptotic stable under appropriate conditions. |
| Keywords: | Discrete delays Upper and lower solutions Globally asymptotic stable Periodic solutions |
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