| 具避难所的捕食者-食饵系统的定性研究 |
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| 引用本文： | 陈江彬.具避难所的捕食者-食饵系统的定性研究[J].福州大学学报(自然科学版),2014,42(6):812-818. |
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| 作者姓名： | 陈江彬 |
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| 作者单位： | 福州大学至诚学院,福建福州,350002 |
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| 基金项目： | 福建省自然科学基金资助项目（面上项目，重点项目，重大项目） |
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| 摘 要： | 研究具有Holling-II功能反应函数的捕食者-食饵系统.运用Poincaré形式级数法,得到系统正平衡点至多是一阶稳定细焦点.通过定性研究得到系统的正解有界,并且当平衡点不稳定时,系统存在唯一稳定的极限环.最后,利用计算机进行数值模拟,验证了所得结论.
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| 关 键 词： | Hopf分支 极限环 避难所 捕食者-食饵系统 |
| 收稿时间： | 7/3/2014 12:00:00 AM |
Qualitative analysis of a prey-predator model incorporating a prey refuge |
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| CHEN Jiang-bin.Qualitative analysis of a prey-predator model incorporating a prey refuge[J].Journal of Fuzhou University(Natural Science Edition),2014,42(6):812-818. |
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| Authors: | CHEN Jiang-bin |
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| Institution: | Zhicheng College, Fuzhou University |
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| Abstract: | A predator-prey system with Holling-II
response function incorporating a prey refuge is investigated. By
using the method of formal power series of Poincar\'{e}, we get a
result that the positive equilibrium is a stable fine-focus of
order at most 1. The qualitative analysis for the model indicates
that the positive solutions of the system are all bounded, thus,
when the equilibrium is unstable, the system has exactly one
stable limit cycle. |
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| Keywords: | Hopf bifurcation Limit cycle Refuge |
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