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| 一类具非单调泛函响应的状态-依赖型时滞捕食者-食饵系统的周期性 | |
| 引用本文： | 王连球,王智慧,尹福其.一类具非单调泛函响应的状态-依赖型时滞捕食者-食饵系统的周期性[J].生物数学学报,2006,21(3):321-328. |
| 作者姓名： | 王连球 王智慧 尹福其 |
| 作者单位： | 1. 湖南工学院,基础课部,湖南,衡阳,421008 2. 邵阳学院,数学系,湖南,邵阳,422000 3. 上海大学,数学系,上海,650091 |
| 摘 要： | 考虑一类具非单调泛函响应的状态-依赖型时滞捕食者-食饵系统,利用重合度和延拓定理,得到了一系列易检验的类方程至少存在一个严格正周期解的充分条件． |
| 关 键 词： | 正周期解 状态-依赖型时滞 重合度 |
| 文章编号： | 1001-9626（2006）03-0321-08 |
| 收稿时间： | 2004-04-21 |
| 修稿时间： | 2004年4月21日 |
Periodicity in a Delay State-Dependent Predator-Prey System with Non-Monotonic Functional Response |
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| WANG Lian-qiu,WANG Zhi-hui,YIN Fu-qi.Periodicity in a Delay State-Dependent Predator-Prey System with Non-Monotonic Functional Response[J].Journal of Biomathematics,2006,21(3):321-328. | |
| Authors: | WANG Lian-qiu WANG Zhi-hui YIN Fu-qi |
| Institution: | 1 Department of Mathematics, Hunan Institute of Technology, Hengyang Hunan 421008 China;2 Department of Mathematics, Shaoyang College, Shaoyang Hunan 422000 China;3 Department of Mathematics, Shanghai University, Baoshan Shanghai 650091 China |
| Abstract: | In this paper,a delayed state-dependent predator-prey system with non-monotonic functional response is considered.By using the coincidence degree and continuation theorem,a set of easily verifiable sufficient conditions is derived for the existence of at least one stricity positive periodic solution to the equation. |
| Keywords: | Positive periodic solution State-dependent delay Coincidence degree |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ | |