环境污染与自然资源耦合系统的动力学模型分析

Dynamic Model Analysis of Coupled System of Environmental Pollution and Natural Resources

为研究环境自净率和污染物排放速度对自然资源存量的影响,建立了自然资源与环境污染耦合系统的离散动力学模型,讨论了正平衡点的存在性、稳定性及局部分叉,应用中心流形理论探讨了不动点在发生flip分叉时的临界稳定性,并用数值模拟的方法验证了正平衡点的局部分叉.最后,用全局分析方法描述了环境自净率对自然资源可持续利用的影响.

A discrete dynamic model of the coupled system of natural resources and environmental pollution was established,and the influence of environmental self-purification rate and pollutant emission rate on the stock of natural resources was analyzed. The existence,stability and local bifurcations of positive fixed points were investigated,the critical stability of fixed point in flip bifurcation was analyzed by using the center manifold theory,and numerical simulation was used to verify the local bifurcations of fixed point. At last,the global method was used to analyze the influence of environmental self-purification rate on the sustainable utilization of the natural resources.