Article
Existence of measure-valued solutions in optimal control of age-structured populations
Mathematics Faculty Publications
Document Type
Article
Publication Date
1-1-2021
Abstract
We consider a nonlinear profit maximization problem in the Lotka–McKendrick model of age-structured harvested population describing farmed populations in agriculture and aquaculture. The control functions are time- and age-dependent harvesting rate and time dependent supply of newborns. We establish the existence of optimal controls with measure-valued harvesting rate by using distributional partial derivatives of functions of bounded variation through the equivalent integrated form to the original problem.
Citation Information
Natali Hritonenko, Nobuyuki Kato and Yuri Yatsenko. "Existence of measure-valued solutions in optimal control of age-structured populations" (2021) Available at: http://works.bepress.com/natali-hritonenko/41/