Mathematical Models in Economic Environmental Problems

Zbigniew Nahorski, Hans F. Ravn

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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
Number of pages67
ISBN (Print)87-550-2263-4
Publication statusPublished - 1996
Externally publishedYes
SeriesDenmark. Forskningscenter Risoe. Risoe-R


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


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