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| 一个具有扩散和时滞的捕食模型的持久性与周期解的存在性 | |
| 引用本文： | 汪海玲,钟守铭,田宝丹.一个具有扩散和时滞的捕食模型的持久性与周期解的存在性[J].生物数学学报,2007,22(1):25-36. |
| 作者姓名： | 汪海玲 钟守铭 田宝丹 |
| 作者单位： | 1. 重庆邮电大学,计算机科学与技术学院,重庆,400065 2. 电子科技大学,应用数学学院,四川,成都,610054 3. 西南科技大学,理学院,四川,绵阳,621010 |
| 摘 要： | 对一类在斑块环境下具有Beddington型功能性反应和时滞现象的非自治捕食系统进行了研究,证明系统在适当的条件下是永久持续生存的;利用重合度理论,得到了一组保证该系统存在正周期解的充分条件． |
| 关 键 词： | 永久持续 时滞 扩散 Beddington型功能性反应 捕食系统 周期解 拓展定理 |
| 文章编号： | 1001-9626（2007）01-0025-12 |
| 收稿时间： | 2004-10-21 |
| 修稿时间： | 2004-10-21 |
Permanence and Existence of Periodic Solutions of a Predator-Prey Patchy Model with Dispersal and Time Delay |
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| WANG Hai-ling,ZHONG Shou-ming,TIAN Bao-dan.Permanence and Existence of Periodic Solutions of a Predator-Prey Patchy Model with Dispersal and Time Delay[J].Journal of Biomathematics,2007,22(1):25-36. | |
| Authors: | WANG Hai-ling ZHONG Shou-ming TIAN Bao-dan |
| Institution: | 1 College of Computer Science and Technology, Chongqing University of Posts and Telecommunications, Chongqing 400065 China;2 School of Applied Mathematics, University of Electronic Science and Technology of China, Chengdu Sichuan 610054 China;3 School of Science, Southwest University of Science and Technology, Mianyang Sichuan 621010 China |
| Abstract: | In this paper,a non-autonomous predator-prey patchy system with Bedding-type functional response and time delay is investigated.It is shown that the system is permanent under some appropriate conditions.By using Gaines and Mawhin's continuation theorem of coincidence degree theory,a set of easily verifiable sufficient conditions are obtained to guarantee the existence of positive periodic solu- tions of the system. |
| Keywords: | Permanence Time Delay Diffusion Beddington type functional response Predator-prey system Periodic solution Mawhin's theorem |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ | |