| 功能函数为kx~θ的捕食-食饵系统的定性分析 |
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| 引用本文： | 陈柳娟,孙建华.功能函数为kx~θ的捕食-食饵系统的定性分析[J].数学学报,2004,47(4):793-798. |
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| 作者姓名： | 陈柳娟 孙建华 |
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| 作者单位： | 1. 福建教育学院数理系,福州,350001;南京大学数学系,南京,210093
2. 南京大学数学系,南京,210093 |
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| 基金项目： | 国家自然科学基金(10171044)，教育部骨干教师资助项目，江苏省自然科学基金(BK2001024) |
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| 摘 要： | 本文考虑捕食者无密度制约,食饵具有功能性反应函数kx~θ(0<θ≤1)的捕食-食饵系统,证明了该系统存在唯一极限环的充要条件为其正奇点是不稳定的。
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| 关 键 词： | 捕食-食饵系统 功能性反应 极限环 |
| 文章编号： | 0583-1431(2004)04-0793-06 |
Qualitative Analysis of a Predator-Prey System with Functional Response kxθ |
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| Liu Juan CHEN.Qualitative Analysis of a Predator-Prey System with Functional Response kxθ[J].Acta Mathematica Sinica,2004,47(4):793-798. |
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| Authors: | Liu Juan CHEN |
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| Institution: | Liu Juan CHEN Department of Mathematics, Nanjing University, Nanjing 210093, P. R. China Department of Mathematics,Fujian College of Education,Fuzhou 350001,P.R.China
Jian Hua SUN Department of Mathematics,Nanjing University, Nanjing 210093,P. R. China |
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| Abstract: | In this paper, we consider a class of predator-prey models with functional
response kx~θ and prove that the system has a unique limit cycle if and only if the
singular point in the first quadrant is unstable. |
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| Keywords: | Predator-prey model Functional response Limit cycle |
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