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Age-Structured PDEs in Economics, Ecology, and Demography: Optimal Control and Sustainability

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  • NATALI HRITONENKO
  • YURI YATSENKO

Abstract

Optimal control of partial differential equations arises in population ecology, economics, and demography. The consistency of mathematical treatment is demonstrated for the Lotka-McKendrick model and its nonlinear modifications of increasing complexity. The obtained qualitative optimal dynamics show that the models have either the bang-bang structure of optimal controls or follow balanced growth dynamics.

Suggested Citation

  • Natali Hritonenko & Yuri Yatsenko, 2010. "Age-Structured PDEs in Economics, Ecology, and Demography: Optimal Control and Sustainability," Mathematical Population Studies, Taylor & Francis Journals, vol. 17(4), pages 191-214.
    • Handle: RePEc:taf:mpopst:v:17:y:2010:i:4:p:191-214
    DOI: 10.1080/08898480.2010.514851
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    References listed on IDEAS

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