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Dirac Delta-Function in Optimal Control of Age-Structured Populations

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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

We demonstrate that use of the Dirac delta-function simplifies qualitative optimization analysis of two contemporary population models. The first problem maximizes the discounted profit from harvesting in the linear age-structured Lotka–McKendrick model. The second problem describes optimal investments in new and old equipment under evolving technology.

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Acknowledgements

This work was supported by JSPS KAKENHI Grant Number JP17K05273. N. Hritonenko recognizes support of PVAMU FIE Faculty Innovation and Enhancement.

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Authors and Affiliations

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

    Natali Hritonenko

  2. Kanazawa University, Kanazawa, Japan

    Nobuyuki Kato

  3. Houston Baptist University, Houston, TX, USA

    Yuri Yatsenko

Authors
  1. Natali Hritonenko
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  2. Nobuyuki Kato
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  3. Yuri Yatsenko
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Corresponding author

Correspondence to Natali 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., Kato, N., Yatsenko, Y. (2022). Dirac Delta-Function in Optimal Control of Age-Structured Populations. 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_39

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