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Optimal Control of an Ecogenetic Model

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Abstract

A model for the effects of a predator on a genetically distinguished prey population is formulated and investigated. Equilibria are determined and analyzed for both the complete system and the predator-free subsystem. A control on the genotype of the prey population harming the predators is then added and an optimal control is sought. Numerical simulations are performed to determine how the controlled system behaves and how parameter changes affect the system.

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Acknowledgements

Work partially supported by the project “Metodi numerici in teoria delle popolazioni” of the Dipartimento di Matematica “Giuseppe Peano” of the Università di Torino.

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Authors and Affiliations

  1. Dipartimento di Matematica “Giuseppe Peano”, Università di Torino, Torino, Italy

    Arianna Cecchetti, Pietro Ferragamo, Alice Zampini & Ezio Venturino

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  1. Arianna Cecchetti
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  2. Pietro Ferragamo
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  3. Alice Zampini
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  4. Ezio Venturino
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Correspondence to Ezio Venturino.

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Cecchetti, A., Ferragamo, P., Zampini, A. et al. Optimal Control of an Ecogenetic Model. Int. J. Appl. Comput. Math 3 (Suppl 1), 473–488 (2017). https://doi.org/10.1007/s40819-017-0365-x

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  • DOI: https://doi.org/10.1007/s40819-017-0365-x

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