Article
Age-structured PDEs in economics, ecology, and demography: Optimal control and sustainability
Mathematics Faculty Publications
Document Type
Article
Publication Date
10-1-2010
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. © Taylor & Francis Group, LLC.
Citation Information
Natali Hritonenko and Yuri Yatsenko. "Age-structured PDEs in economics, ecology, and demography: Optimal control and sustainability" (2010) Available at: http://works.bepress.com/natali-hritonenko/6/