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Mathematical Models in Economic Environmental Problems

  • Zbigniew Nahorski
  • , Hans F. Ravn
  • Polish Academy of Sciences
  • Risø National Laboratory

Research output: Book/ReportReportResearch

28 Downloads (Orbit)

Abstract

The report contains a review of basic models and mathematical tools used in economic regulation problems. It starts with presentation of basic models of capital accumulation, resource depletion, pollution accumulation, and population growth, as well as construction of utility functions. Then the one-state variable model is discussed in details. The basic mathematical methods used consist of application of the maximum principle and phase plane analysis of the differential equations obtained as the necessary conditions of optimality. A summary of basic results connected with these methods is given in appendices.
Original languageEnglish
Place of PublicationRoskilde
PublisherRisø National Laboratory
Volume955(EN)
Number of pages67
ISBN (Print)87-550-2263-4
Publication statusPublished - 1996
Externally publishedYes
SeriesDenmark. Forskningscenter Risoe. Risoe-R
Number955(EN)
ISSN0106-2840

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

  1. SDG 7 - Affordable and Clean Energy
    SDG 7 Affordable and Clean Energy

Keywords

  • Differential equations
  • Mathematical models
  • Optimal control
  • Pollution
  • Population dynamics
  • Renewable resources
  • Resource depletion

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