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

Natali Hritonenko and Yuri Yatsenko

Mathematical Population Studies, 2010, vol. 17, issue 4, 191-214

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.

Keywords: age-structured populations; harvesting; medical capital investment; partial differential equations; size-structured populations; vintage capital models (search for similar items in EconPapers)
Date: 2010
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DOI: 10.1080/08898480.2010.514851

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