NEAR-OPTIMALITY OF A STOCHASTIC ECONOMIC-ENVIRONMENT MODEL WITH POLLUTION CONTROL STRATEGIES  

作　　者：Jing XU Lu LU Xinyu SONG 许靖;陆路;宋新宇(School of Mathematics and Statistics,Hubei Normal University,Huangshi 435002,China;School of Mathematics and Statistics,Xinyang Normal University,Xinyang 464000,China)

机构地区：[1]School of Mathematics and Statistics,Hubei Normal University,Huangshi 435002,China [2]School of Mathematics and Statistics,Xinyang Normal University,Xinyang 464000,China

出　　处：《Acta Mathematica Scientia》2024年第6期2190-2206,共17页数学物理学报（B辑英文版）

基　　金：supported by the National Natural Science Foundation of China(12071407,12171193);the Natural Science Foundation of Hubei Province(2024AFB170)。

摘　　要：Economic development has caused a lot of environmental problems,in turn,environmental pollution restricts economic development.Considering the influence of wind direction and speed,temperature and humidity on pollutants,as well as the influence of epidemic,war and exchange rate on economic development.In this paper,we develop a stochastic economic-environment model with pollution control strategies.Furthermore,sufficient and necessary conditions for the near-optimality are established.Finally,we perform some numerical simulations to demonstrate the correctness of the theoretical results,which shows that some control strategies could decrease the environmental pollution,and therefore,could alleviate economic losses caused by environmental pollution.

关 键 词：economic-environment model near-optimality adjoint equation Hamiltonian function Ekeland's variational principle 

分 类 号：X22[环境科学与工程—环境科学] O211.6[理学—概率论与数理统计]