Pontryagin's principle for control problems in age-dependent population dynamics

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Abstract

In this paper, Pontryagin's principle is proved for a fairly general problem of optimal control of populations with continuous time and age variable. As a consequence, maximum principles are developed for an optimal harvesting problem and a problem of optimal birth control.

Original languageEnglish
Pages (from-to)75-101
Number of pages27
JournalJournal of Mathematical Biology
Volume23
Issue number1
DOIs
StatePublished - Dec 1985
Externally publishedYes

Keywords

  • Hyperbolic systems
  • Optimal control
  • Optimal harvesting
  • Pontryagin's principle
  • Population dynamics

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