Skip to main content
Article
Optimization of harvesting age in an integral age-dependent model of population dynamics
Mathematics Faculty Publications
  • Natali Hritonenko, Prairie View A&M University
  • Yuri Yatsenko, Houston Baptist University
Document Type
Article
Publication Date
6-1-2005
Abstract

The paper deals with optimal control in a linear integral age-dependent model of population dynamics. A problem for maximizing the harvesting return on a finite time horizon is formulated and analyzed. The optimal controls are the harvesting age and the rate of population removal by harvesting. The gradient and necessary condition for an extremum are derived. A qualitative analysis of the problem is provided. The model shows the presence of a zero-investment period. A preliminary asymptotic analysis indicates possible turnpike properties of the optimal harvesting age. Biological interpretation of all results is provided. © 2005 Elsevier Inc. All rights reserved.

Citation Information
Natali Hritonenko and Yuri Yatsenko. "Optimization of harvesting age in an integral age-dependent model of population dynamics" (2005)
Available at: http://works.bepress.com/natali-hritonenko/48/