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资源-环境-经济(REE)模型的非线性动力学分析

NONLINEAR DYNAMIC ANALYSIS OF RESOURCE-ENVIRONMENT-ECONOMY( REE) MODEL

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【作者】 李佼瑞郭宇鸣

【Author】 Li Jiaorui;Guo Yuming;Statistical Institute,Xi’an University of Finance and Economics;

【通讯作者】 郭宇鸣;

【机构】 西安财经学院统计学院

【摘要】 为了寻找可持续的发展道路,探索不同发展模式下的生态环境效应,为可持续发展战略提供理论依据,推动构建环境友好型社会,建立了一个考虑环境污染治理的"资源-环境-经济"(REE)三维动力系统模型,利用非线性动力学理论及数值模拟的方法,理论分析了系统的局部稳定性,对系统的动力学行为进行了数值模拟,着重对污染排放和资源提取这两个重要因素进行研究,讨论其对系统的影响.结果表明,污染排放率和资源提取率对系统有很大影响.当污染排放率在一定范围时,系统出现极限环,形成周期现象.当资源提取率控制到一定范围内,可使经济达到稳定水平的同时,减少环境污染,保证资源储量.此研究对实现"资源-环境-经济"的协调可持续发展具有重要的现实意义.

【Abstract】 In order to find the sustainable development model and reveal the environmental effects of different development models,this paper provides a theoretical basis for the sustainable development and environmentfriendly society construction. This paper establishes a "resource-environment-economy"( REE) three-dimensional Dynamic system model,and the nonlinear stability of the system is analyzed by nonlinear dynamic theory and numerical simulation. The dynamic behavior of the system is simulated numerically,and the two important factors of pollution emission and resource extraction are studied emphatically to discuss their impact on the system. The results show that the pollution rate and resource extraction rate have a great influence on the system. When the pollution emission rate is in a certain range,the system appears limiting ring and forms the periodic phenomena.When the resource extraction rate is controlled to a certain extent,the economy can achieve a stable level,environmental pollution is also reduced and resource reserves are ensured. This paper has important practical significance to realize the coordinated and sustainable development of "resource-environment-economy".

【基金】 国家自然科学基金资助项目(11572231)~~
  • 【文献出处】 动力学与控制学报 ,Journal of Dynamics and Control , 编辑部邮箱 ,2019年01期
  • 【分类号】F205
  • 【被引频次】1
  • 【下载频次】148
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