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Optimal Harvesting in an Age-Structured Predator–Prey Model

Applied Mathematics and Optimization volume 54, pages 1–15 (2006)Cite this article

Abstract

We investigate optimal harvesting control in a predator–prey model in which the prey population is represented by a first-order partial differential equation with age-structure and the predator population is represented by an ordinary differential equation in time. The controls are the proportions of the populations to be harvested, and the objective functional represents the profit from harvesting. The existence and uniqueness of the optimal control pair are established.

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Authors and Affiliations

  1. Department of Mathematics and Statistics, Murray State University, Murray, KY 42071-3341, USA

    K. Renee Fister

  2. Department of Mathematics, University of Tennessee, Knoxville, TN 37996-1300, USA and Computer Science and Mathematics Division, Oak Ridge National Laboratory, Oak Ridge, TN 37831-6016 , USA

    Suzanne Lenhart

Authors
  1. K. Renee Fister
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  2. Suzanne Lenhart
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Correspondence to K. Renee Fister or Suzanne Lenhart.

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Fister, K., Lenhart, S. Optimal Harvesting in an Age-Structured Predator–Prey Model. Appl Math Optim 54, 1–15 (2006). https://doi.org/10.1007/s00245-005-0847-9

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  • DOI: https://doi.org/10.1007/s00245-005-0847-9

  • Optimal control
  • Age-structure
  • Predator--prey