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.
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Volume (Year): 17 (2010)
Issue (Month): 4 ()
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