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Optimal Harvesting in Age- and Size-Structured Population Models

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Current Trends in Analysis, its Applications and Computation

Part of the book series: Trends in Mathematics ((RESPERSP))

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Abstract

This paper briefly surveys age- and size- structured linear and nonlinear population models and reveals their practical meaning. It focuses on optimal control problems with two types of harvesting and their impact on the sustainable harvesting.

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Acknowledgements

The authors are thankful to Chair Dr. Torsten Lindström and participants of the ISAAC session “Applications of dynamical systems theory in biology” for their useful comments and to anonymous reviewers for their valuable comments that essentially improve the paper. N. Hritonenko acknowledges support of PVAMU FIE and FEP programs. N. Hritonenko and M. Leite acknowledge support from NIMBioS, NSF Award # DBI – 1300426.

Author information

Authors and Affiliations

  1. Prairie View A&M University, Prairie View, TX, USA

    N. Hritonenko

  2. University of South Florida St. Petersburg, St. Petersburg, FL, USA

    M. C. A. Leite

  3. Houston Baptist University, Houston, TX, USA

    Y. Yatsenko

Authors
  1. N. Hritonenko
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  2. M. C. A. Leite
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  3. Y. Yatsenko
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Corresponding author

Correspondence to N. Hritonenko .

Editor information

Editors and Affiliations

  1. Department of Mathematics, University of Aveiro, Aveiro, Portugal

    Paula Cerejeiras

  2. Institut of Applied Analysis, TU Bergakademie Freiberg, Freiberg, Germany

    Michael Reissig

  3. Dipartimento di Matematica, Politecnico di Milano, Milano, Italy

    Irene Sabadini

  4. Department of Mathematics, Linnaeus University, Växjö, Sweden

    Joachim Toft

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Hritonenko, N., Leite, M.C.A., Yatsenko, Y. (2022). Optimal Harvesting in Age- and Size-Structured Population Models. In: Cerejeiras, P., Reissig, M., Sabadini, I., Toft, J. (eds) Current Trends in Analysis, its Applications and Computation. Trends in Mathematics(). Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-87502-2_2

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