| 引用本文： |
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刘一枝,杨喜陶,刘雅琴.具有单调泛函响应的离散比率时滞捕食-被捕食模型正周期解的存在性[J].广西科学,2012,19(1):46-49. [点击复制]
- LIU Yi-zhi,YANG Xi-tao,LIU Ya-qin.Existence of Positive Periodic Solution for a Delayed Discrete Ratio-dependent Predator-prey Model with Monotonic Functional Responses[J].Guangxi Sciences,2012,19(1):46-49. [点击复制]
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| 摘要: |
| 利用叠合度定理,得到一类具有单调泛函响应的时滞比率依赖的离散捕食-被捕食模型正周期解存在的一个充分条件. |
| 关键词: 捕食-被捕食模型 正周期解 比率依赖 单调泛函响应 |
| DOI： |
| 投稿时间：2011-01-07修订日期：2011-08-20 |
| 基金项目:湖南科技大学研究生创新基金项目(S110123)资助。 |
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| Existence of Positive Periodic Solution for a Delayed Discrete Ratio-dependent Predator-prey Model with Monotonic Functional Responses |
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LIU Yi-zhi, YANG Xi-tao, LIU Ya-qin
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| (Science and Technology of Hunan University, Xiangtan, Hunan, 411201, China) |
| Abstract: |
| By using coincidence degree theorem, we obtain a sufficient condition for the existence of positive periodic solutions of a delayed discrete ratio-dependent predator-prey model with monotonic functional responses. |
| Key words: predator-prey model positive periodic solutions ratio-dependent monotonic functional responses |
