Near-optimality of a stochastic economic-environment model with pollution control strategies

被引：0

作者：

Xu, Jing ^{[1
]}

Lu, Lu ^{[2
]}

Song, Xinyu ^{[2
]}

机构：

[1] Hubei Normal Univ, Sch Math & Stat, Huangshi 435002, Peoples R China

[2] Xinyang Normal Univ, Sch Math & Stat, Xinyang 464000, Peoples R China

来源：

ACTA MATHEMATICA SCIENTIA | 2024年 / 44卷 / 06期

基金：

中国国家自然科学基金;

关键词：

economic-environment model; near-optimality; adjoint equation; Hamiltonian function; Ekeland's variational principle; GROWTH; SUFFICIENT;

D O I：

10.1007/s10473-024-0608-y

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

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.

引用

页码：2190 / 2206

页数：17

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