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

doi:10.1007/s10473-024-0608-y

Abstract

Abstract: 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.

Key words: economic-environment model, near-optimality, adjoint equation, Hamiltonian function, Ekeland's variational principle

CLC Number:

35B10

Jing XU, Lu LU, Xinyu SONG. NEAR-OPTIMALITY OF A STOCHASTIC ECONOMIC-ENVIRONMENT MODEL WITH POLLUTION CONTROL STRATEGIES[J].Acta mathematica scientia,Series B, 2024, 44(6): 2190-2206.

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