资源型产业可持续发展的动力学模型分析  

Analysis of Dynamical Model for Sustainable Development of Resource-Based Industry

作　　者：顾恩国[1] 秦文钊 张梅娜[1] 

机构地区：[1]中南民族大学 数学与统计学学院,武汉430074

出　　处：《中南民族大学学报（自然科学版）》2014年第1期113-117,共5页Journal of South-Central University for Nationalities：Natural Science Edition

基　　金：国家自然科学基金资助项目(61374085)

摘　　要：为了研究资源型产业与可再生资源之间的关系,建立了资源存量与产量之间相互作用的一维离散动力系统,应用非线性动力学方法研究了系统正不动点的存在性和局部稳定性,给出了使资源稳定到固定值的产量的阈值范围,并用数值模拟的方法验证了阈值范围的正确性,最后应用全局分析的方法给出了使资源可再生的当前资源存量范围.In order to analyze the relationship between resource-based industry and renewable resource , we propose a one-dimensional discrete dynamic system describing the interaction between resource stock and production , use nonlinear dynamical method to analyze the existence and local stability of the positive equilibrium points of the system , then we get the threshold of production which ensures the resource is stabilized at fixed value .We also verify the validity of the threshold by the method of numerical simulation .Finally, we give the extent of current stock in which resource can be renewable by global analysis method .

关 键 词：资源型产业 可再生资源 可持续利用 正不动点 稳定性 吸引域 

分 类 号：O193[理学—数学] F133.3[理学—基础数学]