| 公共渔业资源下叉河捕捞的动力学模型分析 |
| |
| 引用本文： | 顾恩国,廖容云,范致鉴,梁艳.公共渔业资源下叉河捕捞的动力学模型分析[J].中南民族大学学报(自然科学版),2012,31(1):109-113. |
| |
| 作者姓名： | 顾恩国 廖容云 范致鉴 梁艳 |
| |
| 作者单位： | 中南民族大学数学与统计学学院,武汉,430074 |
| |
| 基金项目： | 国家自然科学基金资助项目(10871209);中南民族大学自然科学基金资助项目(YZZ060277) |
| |
| 摘 要： | 假设公共渔业资源在叉河按比例分配的前提下,提出了两个捕捞个体在分叉河道博弈公共渔业资源的动力学模型,然后应用非线性动力学方法分析资源可持续利用的条件,即正平衡态的存在性和稳定性,最后给出渔业资源的当前储量在什么范围内才能维持其再生能力（资源不枯竭的条件）.
|
| 关 键 词： | Nash均衡 分配比例 正平衡态的存在性和稳定性 倍周期分叉 可行吸引域 |
Analysis of Common Fishery Resource Dynamical Model with Split Stream Harvesting |
| |
| Gu Enguo,Liao Rongyun,Fan Zhijian,Liang Yan.Analysis of Common Fishery Resource Dynamical Model with Split Stream Harvesting[J].Journal of South-Central Univ for,2012,31(1):109-113. |
| |
| Authors: | Gu Enguo Liao Rongyun Fan Zhijian Liang Yan |
| |
| Institution: | (College of Mathematics and Statistics,South-Central University for Nationalities,Wuhan 430074,China) |
| |
| Abstract: | In this paper,we formulate the dynamical model of two individuals competing for resource in common on the assumption that fishery resources are distributed with scale in two split streams of one river,and analyze the existence and stability of positive equilibria characterizing the sustainable use of the renewable resource by nonlinear dynamics.We finally give the extension of current stock in which fishery resources can be renewable. |
| |
| Keywords: | Nash equilibrium portioned rate existence and stability of positive equilibria double periodic bifurcation feasible domain |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
| 点击此处可从《中南民族大学学报(自然科学版)》浏览原始摘要信息 |
| 点击此处可从《中南民族大学学报(自然科学版)》下载免费的PDF全文 |
