| 离散Hassell-Varley型功能性反应系统的正周期解 |
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| 引用本文： | 刘秀湘,黄立宏.离散Hassell-Varley型功能性反应系统的正周期解[J].数学的实践与认识,2009,39(12). |
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| 作者姓名： | 刘秀湘 黄立宏 |
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| 作者单位： | 1. 湖南大学,数学与计量经济学院,湖南,长沙,410082;华南师范大学,数学科学学院,广东,广州,510631
2. 湖南大学,数学与计量经济学院,湖南,长沙,410082 |
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| 基金项目： | 国家自然科学基金，广东省自然科学基金 |
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| 摘 要： | 研究具有Hassell-Varley型功能性反应的捕食者—食饵系统并建立了非自治差分方程模型.利用新的解的估计技巧,并运用拓扑度的同伦不变性,得到了这类系统正周期解存在的充要条件.
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| 关 键 词： | Hassell-Varley型功能性反应 周期解 捕食者—食饵系统 |
Positive Periodic Solutions for a Discrete System with Hassell-Varley Type Functional Response |
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| LIU Xiu-xiang,HUANG Li-hong.Positive Periodic Solutions for a Discrete System with Hassell-Varley Type Functional Response[J].Mathematics in Practice and Theory,2009,39(12). |
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| Authors: | LIU Xiu-xiang HUANG Li-hong |
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| Abstract: | This paper deals with a predator-prey system with Hassell-Varley type functional response.The non-autonomous difference model is established.Using a new estimation techinque of solutions and the invariance property of homotopy,the necessary and sufficient conditions are derived. |
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| Keywords: | Hassell-Varley type functional response periodic solutions predator-prey system |
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