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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.

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Brokate, M. Pontryagin's principle for control problems in age-dependent population dynamics. J. Math. Biology 23, 75–101 (1985). https://doi.org/10.1007/BF00276559

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Key words

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