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Article
The structure of optimal time- and age-dependent harvesting in the Lotka-McKendrik population model
Mathematics Faculty Publications
  • Natali Hritonenko, Prairie View A&M University
  • Yuri Yatsenko, Houston Baptist University
Document Type
Article
Publication Date
7-1-2007
Abstract

The paper analyzes optimal harvesting of age-structured populations described by the Lotka-McKendrik model. It is shown that the optimal time- and age-dependent harvesting control involves only one age at natural conditions. This result leads to a new optimization problem with the time-dependent harvesting age as an unknown control. The integral Lotka model is employed to explicitly describe the time-varying age of harvesting. It is proven that in the case of the exponential discounting and infinite horizon the optimal strategy is a stationary solution with a constant harvesting age. A numeric example on optimal forest management illustrates the theoretical findings. Discussion and interpretation of the results are provided. © 2006 Elsevier Inc. All rights reserved.

Citation Information
Natali Hritonenko and Yuri Yatsenko. "The structure of optimal time- and age-dependent harvesting in the Lotka-McKendrik population model" (2007)
Available at: http://works.bepress.com/natali-hritonenko/64/