| 两个专属渔业资源区的离散动力学模型分析 |
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| 引用本文： | 顾恩国,梁艳,范致鉴,廖容云.两个专属渔业资源区的离散动力学模型分析[J].中南民族大学学报(自然科学版),2011,30(1):105-108,116. |
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| 作者姓名： | 顾恩国 梁艳 范致鉴 廖容云 |
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| 作者单位： | 中南民族大学,数学与统计学学院,武汉,430074 |
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| 基金项目： | 国家自然科学基金资助项目，中南民族大学自然科学基金资助项目 |
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| 摘 要： | 假设渔业资源分属于两个区域,建立了一个渔业资源储量一捕捞力度动态模型,用聚合方法得到了一个简化的动力系统,定量分析了正不动点的存在性、稳定性和局部分叉,并用数值模拟验证不动点的局部分叉.最后,用全局分析方法来描述资源在什么范围可持续利用.
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| 关 键 词： | 储量-捕捞力度动态模型 时间刻度 聚合方法 正平衡点的稳定性 分叉 可行吸引域 |
Analysis of Discrete Dynamical Model for Two Special Fishery Resource Zones |
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| Gu Enguo,Liang Yan,Fang Zhijian,Liao Rongyun.Analysis of Discrete Dynamical Model for Two Special Fishery Resource Zones[J].Journal of South-Central Univ for,2011,30(1):105-108,116. |
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| Authors: | Gu Enguo Liang Yan Fang Zhijian Liao Rongyun |
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| Institution: | Gu Enguo,Liang Yan,Fang Zhijian,Liao Rongyun(College of Mathematics and Statistics,South-Central University for Nationalities,Wuhan 430074,China) |
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| Abstract: | In this paper,fishery resources are supposed to be subdivided into two zones and a stock-effort dynamical model is established.A dynamical system is reduced by aggregation methods and quantitative methods are used to analyze the existence of positive fixed points,stability and local bifurcations,and numerical simulation is used to verify the local bifurcations of fixed points.Finally,the global methods are used to analyze the extent of sustainable use of fishery resources. |
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| Keywords: | stock-effort dynamical model time scales aggregation method stability of the positive equilibrium bifurcation feasible domain |
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