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Optimal Control of Population Dynamics

Author

Listed:
  • V. Barbu

    (University of Iasi)

  • M. Iannelli

    (University of Trento)

Abstract

The present paper is concerned with the optimal control problem for a Gurtin–MacCamy type system describing the evolution of an age-structured population. Necessary optimality conditions are established in the form of an Euler–Lagrange system and existence of an optimal control is proved using the Ekeland principle.

Suggested Citation

  • V. Barbu & M. Iannelli, 1999. "Optimal Control of Population Dynamics," Journal of Optimization Theory and Applications, Springer, vol. 102(1), pages 1-14, July.
    • Handle: RePEc:spr:joptap:v:102:y:1999:i:1:d:10.1023_a:1021865709529
    DOI: 10.1023/A:1021865709529
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    Citations

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    Cited by:

    1. Natali Hritonenko & Yuri Yatsenko, 2006. "Optimization of Harvesting Return from Age-Structured Population," Journal of Bioeconomics, Springer, vol. 8(2), pages 167-179, August.
    2. Hidekazu Yoshioka & Yuta Yaegashi, 2020. "A growth rate control problem of harmful species population and its application to algae bloom," Environment Systems and Decisions, Springer, vol. 40(1), pages 107-124, March.
    3. Natali Hritonenko & Nobuyuki Kato & Yuri Yatsenko, 2017. "Optimal Control of Investments in Old and New Capital Under Improving Technology," Journal of Optimization Theory and Applications, Springer, vol. 172(1), pages 247-266, January.
    4. Gustav Feichtinger & Vladimir Veliov & Tsvetomir Tsachev, 2004. "Maximum Principle For Age And Duration Structured Systems: A Tool For Optimal Prevention And Treatment Of Hiv," Mathematical Population Studies, Taylor & Francis Journals, vol. 11(1), pages 3-28.
    5. Natali Hritonenko & Yuri Yatsenko, 2010. "Age-Structured PDEs in Economics, Ecology, and Demography: Optimal Control and Sustainability," Mathematical Population Studies, Taylor & Francis Journals, vol. 17(4), pages 191-214.
    6. Emmanuelle Augeraud-Véron & Raouf Boucekkine & Vladimir Veliov, 2019. "Distributed Optimal Control Models in Environmental Economics: A Review," AMSE Working Papers 1902, Aix-Marseille School of Economics, France.
    7. M. Iannelli & G. Marinoschi, 2009. "Harvesting Control for an Age-Structured Population in a Multilayered Habitat," Journal of Optimization Theory and Applications, Springer, vol. 142(1), pages 107-124, July.
    8. Goetz, Renan-Ulrich & Hritonenko, Natali & Yatsenko, Yuri, 2008. "The optimal economic lifetime of vintage capital in the presence of operating costs, technological progress, and learning," Journal of Economic Dynamics and Control, Elsevier, vol. 32(9), pages 3032-3053, September.
    9. Chahrazed Benosman & Bedr’Eddine Aïnseba & Arnaud Ducrot, 2015. "Optimization of Cytostatic Leukemia Therapy in an Advection–Reaction–Diffusion Model," Journal of Optimization Theory and Applications, Springer, vol. 167(1), pages 296-325, October.
    10. Sakine Esmaili & Mohammad Reza Eslahchi, 2017. "Optimal Control for a Parabolic–Hyperbolic Free Boundary Problem Modeling the Growth of Tumor with Drug Application," Journal of Optimization Theory and Applications, Springer, vol. 173(3), pages 1013-1041, June.
    11. Yuan He & Bedr’Eddine Ainseba, 2013. "Exact Null Controllability of a Stage and Age-Structured Population Dynamics System," Journal of Optimization Theory and Applications, Springer, vol. 157(3), pages 918-933, June.

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