| 具亚线性功能反应函数的捕食模型的定性分析 |
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| 引用本文： | 匡奕群,邱梅青,彭浩.具亚线性功能反应函数的捕食模型的定性分析[J].数学的实践与认识,2010,40(1). |
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| 作者姓名： | 匡奕群 邱梅青 彭浩 |
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| 作者单位： | 江西理工大学理学院,江西,赣州,341000 |
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| 基金项目： | 江西省自然科学基金(2007GZS1471) |
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| 摘 要： | 研究了一类食饵具常数存放且功能反应函数为亚线性函数的食饵-捕食者模型,获得了正平衡点全局渐近稳定,极限环存在惟一的充分条件.
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| 关 键 词： | 亚线性函数 全局渐近稳定性 极限环 存在性 惟一性 |
The Qualitative Analysis of a Class of Predator-Prey Model with Sublinear Functional Response Function |
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| KUANG Yi-qun,QIU Mei-qing,PENG Hao.The Qualitative Analysis of a Class of Predator-Prey Model with Sublinear Functional Response Function[J].Mathematics in Practice and Theory,2010,40(1). |
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| Authors: | KUANG Yi-qun QIU Mei-qing PENG Hao |
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| Institution: | KUANG Yi-qun,QIU Mei-qing,PENG Hao(Jiangxi University of Science , Technology,Ganzhuo 341000,China) |
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| Abstract: | We studied a class of predator-prey model with sublinear functional response,and the prey have constant stocking rate,some sufficient conditions of the global stability of the trajectory,and the existence and uiqueness of limit cycle of the model are obtained. |
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| Keywords: | sublinear function global stability limit cycle existence uiqueness |
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