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




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

    1. Barro, Robert J, 1974. "Are Government Bonds Net Wealth?," Journal of Political Economy, University of Chicago Press, vol. 82(6), pages 1095-1117, Nov.-Dec..
    2. Lambrecht, Stephane & Michel, Philippe & Vidal, Jean-Pierre, 2005. "Public pensions and growth," European Economic Review, Elsevier, vol. 49(5), pages 1261-1281, July.
    3. Stéphane Lambrecht & Philippe Michel & Emmanuel Thibault, 2006. "Capital Accumulation and Fiscal Policy in an OLG Model with Family Altruism," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 8(3), pages 465-486, August.
    4. BRECHET, Thierry & LAMBRECHT, Stéphane, 2006. "Intertemporal equilibrium with a resource bequest motive," CORE Discussion Papers 2006022, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
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    Cited by:

    1. Raouf Boucekkine & Natali Hritonenko & Yuri Yatsenko, 2013. "Health, Work Intensity, and Technological Innovations," AMSE Working Papers 1320, Aix-Marseille School of Economics, Marseille, France, revised Mar 2013.
    2. Heaps, Terry, 2015. "Convergence of optimal harvesting policies to a normal forest," Journal of Economic Dynamics and Control, Elsevier, vol. 54(C), pages 74-85.


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