| 双密度制约的Holling Ⅱ型捕食动力系统的定性分析 |
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| 引用本文： | 肖海滨.双密度制约的Holling Ⅱ型捕食动力系统的定性分析[J].生物数学学报,2006,21(3):334-340. |
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| 作者姓名： | 肖海滨 |
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| 作者单位： | 南京大学,数学系,江苏,南京,210093;宁波大学,理学院数学系,浙江,宁波,315211 |
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| 基金项目： | 宁波市自然科学基金(2006A610032) |
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| 摘 要： | 研究食饵具有非线性密度制约捕食者具有线性密度制约的HollingⅡ型捕食动力系统．以食饵的环境容纳量为分支参数,由Hopf分支得到小振幅极限环的存在性,同时也得到了正平衡点的全局稳定性和非小振幅极限环的存在唯一性的充分条件．
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| 关 键 词： | 非线性密度制约 HollingⅡ功能反应 全局稳定性 存在唯一性 |
| 文章编号： | 1001-9626（2006）03-0334-07 |
| 收稿时间： | 2004-01-04 |
| 修稿时间： | 2004-06-19 |
Qualitative Analysis of Holling Type's Predator-Prey Dynamic System with Double Density Restrict |
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| XIAO Hai-bin.Qualitative Analysis of Holling Type's Predator-Prey Dynamic System with Double Density Restrict[J].Journal of Biomathematics,2006,21(3):334-340. |
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| Authors: | XIAO Hai-bin |
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| Institution: | Department of Mathematics, Faculty of Sciences, Ningbo University, Ningbo, Zhejiang 315211 China |
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| Abstract: | Consider a class of Holling predator-prey dynamic system with prey's nonlinear density restrict and predator's linear density restrict.By taking the environmental carrying ca- pacity of the prey as the bifurcation parameter,the existence of the small amplitude stable limit cycle created by Hopf bifurcation is obtained.Also,it follow that the existence and the uniqueness of the non-small amplitude stable limit cycle and the positive equilibrium's global stability. |
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| Keywords: | Nonlinear density restrict Holling functional response Global stability Existence and uniqueness |
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