Title
Age-structured PDEs in economics, ecology, and demography: Optimal control and sustainability
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.
Recommended Citation
Hritonenko, N., & Yatsenko, Y. (2010). Age-structured PDEs in economics, ecology, and demography: Optimal control and sustainability. Retrieved from https://digitalcommons.pvamu.edu/mathematics-facpubs/53