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Age-structured PDEs in economics, ecology, and demography: Optimal control and sustainability

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Hritonenko, Natali [Department of Mathematics , Prairie View A&M University , Prairie View, Texas, USA] Yatsenko, Yuri [UCL]

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. © Taylor & Francis Group, LLC.

Document type Article de périodique (Journal article) – Article de recherche
Publication date 2010
Language Anglais
Journal information "Mathematical Population Studies : an international journal of mathematical demography" - Vol. 17, no. 4, p. 191-214 (2010)
Peer reviewed yes
Publisher Taylor & Francis Inc.
e-issn 1547-724X
issn 0889-8480
Publication status Publié
Affiliations UCL - SSH/LIDAM/CORE - Center for operations research and econometrics
Houston Baptist University - School of Business
Links
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Bibliographic reference Hritonenko, Natali ; Yatsenko, Yuri. Age-structured PDEs in economics, ecology, and demography: Optimal control and sustainability. In: Mathematical Population Studies : an international journal of mathematical demography, Vol. 17, no. 4, p. 191-214 (2010)
Permanent URL http://hdl.handle.net/2078.1/163699