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

Hritonenko, Natali;Yatsenko, Yuri
(2010) Mathematical Population Studies : an international journal of mathematical demography — Vol. 17, n° 4, p. 191-214 (2010)

Files

No attached file found for this publication.

Details

Authors
  • Hritonenko, NataliDepartment of Mathematics , Prairie View A&M University , Prairie View, Texas, USA
    Author
  • Yatsenko, YuriUCLouvain
    Author
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.
Affiliations

Citations

  • APA
  • Chicago
  • FWB

Hritonenko, N., & Yatsenko, Y. (2010). Age-structured PDEs in economics, ecology, and demography: Optimal control and sustainability. Mathematical Population Studies : an international journal of mathematical demography, 17(4), 191-214. https://doi.org/10.1080/08898480.2010.514851 (Original work published 2010)