Dynamic Model Analysis Of Coupled System Of Environmental Pollution And Natural Resources

Ecosystems provide all kinds of resources for human beings and are the basis for our survival and development.However,with the growth of population and the development of society,the discussion on sustainable exploitation and utilization of natural resources has attracted the attention and participation of ecologists and economists,as it is important and urgent.To clarify "the influence that environmental pollution has on the ability of resource regeneration" is the most important link in the management of resources and environment at present.Therefore,based on the review of the research results of domestic and foreign scholars in this field,A two-dimensional dynamic model of resource-environment is proposed,which aims at establishing the interaction among environmental resources,pollutant concentration and population increasing.The model is based on two relatively independent dynamic models of natural resources and of environmental pollution.A specific coupling relationship between natural resources and environmental pollution is investigated.This coupling relationship is mainly reflected in the self-purification ability of natural resources to affect environmental pollution,which in turn affects natural resources.The regeneration ability and the influence of pollution on natural resources can be approximately represented as a "s" shape relationship.Based on the above coupling relationship,a two-dimensional dynamic model of resource and environment is established.In this paper,the long-term influence of environmental parameters on the evolution of resource reserves is studied by means of nonlinear dynamics analysis.Especially,the range of current reserves and pollutant concentrations of natural resources for sustainable exploitation is explored,by a delimitation method of potentially attractive domains of attractors in a mapper power system which is an up-to-date paradigm in recent years.In this paper,the dynamic models of the coupling of natural resources and environmental pollution in the case of linear growth and nonlinear growth are discussed,and the existence and stability conditions of the equilibrium points of the two systems are discussed according to the Jury condition.By using the central pop theorem,the critical state stability of the positive equilibrium point of the coupled dynamic model of nonlinear growth of natural resources and environmental pollution is discussed.The problem of feasible attraction region which reflects the ability of resource stability to resist external interference is studied by numerical method.It is found that the higher the concentration of pollutants,the worse the anti-interference ability of resource stability.The model provides a new idea and theoretical basis for the effective management of the environment and renewable resources(forest,forage,etc.),Besides,it has an important reference significance for the decision makers of natural resource management to formulate resource utilization and protection policies.