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Exact Linearization Techniques to Analyze the Population Dynamics of the Dengue Fever Vector

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XV Mediterranean Conference on Medical and Biological Engineering and Computing – MEDICON 2019 (MEDICON 2019)

Abstract

This work presents an analysis of a mathematical model describing the population dynamics of Aedes aegypti and the design of a vector control via exact linearization techniques and optimal control. The control strategy optimizes the use of resources for vector control. Theoretical and computational results are presented.

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References

  1. Florentino, H.O., Bannwart, B.F., Cantane, D.R., Santos, F.L.P.: Multiobjective genetic algorithm applied to dengue control. Math. Biosci. 258, 77–84 (2014)

    Article  MathSciNet  Google Scholar 

  2. Hansen, P., Mladenović, N., Perez, J.A.M: Variable neighbourhood search: methods and applications 6, 319–360 (2008)

    Google Scholar 

  3. Isidori, A.: Nonlinear Control Systems. Springer, Roma (1995)

    Book  Google Scholar 

  4. Reis, C.A., Florentino, H.O., Cólon, D., Rosa, S.F., Cantane, D.R.: An approach of the exact linearization techniques to analysis of population dynamics of the mosquito Aedes aegypti. Math. Biosci. 299, 51–57 (2018)

    Article  MathSciNet  Google Scholar 

  5. Silva, G.V.M.: Controlo Não Linear. Escola Superior de Tecnologia Setúbal, Lisboa (2003)

    Google Scholar 

  6. Slotine, J., Li, W.: Applied Nonlinear Control. Prentice Hall, New Jersey (1991)

    MATH  Google Scholar 

  7. WHO Homepage. http://www.who.int/mediacentre/factsheets/fs117/en/. Accessed 23 Feb 2017

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Acknowledgements

We wish to thank FAPESP (Grant No. 2009/15098-0, 2013/07375-0 and 2014/01604-0), FUNDUNESP/PROPG/PROPE/UNESP, CNPq (302454/2016-0), and CAPES for their financial support.

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Correspondence to Helenice de Oliveira Florentino .

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de Oliveira Florentino, H., Cantane, D.R., dos Reis, C.A., Cólon, D., Fleury Rosa, S.R. (2020). Exact Linearization Techniques to Analyze the Population Dynamics of the Dengue Fever Vector. In: Henriques, J., Neves, N., de Carvalho, P. (eds) XV Mediterranean Conference on Medical and Biological Engineering and Computing – MEDICON 2019. MEDICON 2019. IFMBE Proceedings, vol 76. Springer, Cham. https://doi.org/10.1007/978-3-030-31635-8_152

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  • DOI: https://doi.org/10.1007/978-3-030-31635-8_152

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-31634-1

  • Online ISBN: 978-3-030-31635-8

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