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A Novel Technique to Estimate Biological Parameters in an Epidemiology Problem

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Advances in Computational Intelligence (IWANN 2017)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 10305))

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Abstract

In this paper, we describe a study of a parameter estimation technique to estimate a set of unknown biological parameters of a non-linear dynamic model of dengue. We also explore a Levenberg-Marquardt (LM) algorithm to minimize the cost function. A classical mathematical model describes the dynamics of mosquitoes in water and winged phases, where the data are available. The main interest is to fit the model to the data taking into account the parameters estimated. Numerical simulations were performed and results showed the robustness of LM in estimating the important parameters in the dengue disease problem.

The original version of this chapter was revised: An acknowledgement has been added. The erratum to this chapter is available at 10.1007/978-3-319-59153-7_65

An erratum to this chapter can be found at http://dx.doi.org/10.1007/978-3-319-59153-7_65

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Acknowledgements

The authors would like to thank the Brazilian agencies CAPES for the master’s scholarship provided and FAPESP for the financial support received.

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Authors and Affiliations

  1. Institute of Biosciences of Botucatu, São Paulo State University, Botucatu, Brazil

    Antone dos Santos Benedito

  2. Department of Biostatistics, Institute of Biosciences of Botucatu, São Paulo State University, Distrito Rubião Júnior, Botucatu, SP, 18618-689, Brazil

    Fernando Luiz Pio dos Santos

Authors
  1. Antone dos Santos Benedito
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  2. Fernando Luiz Pio dos Santos
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Corresponding author

Correspondence to Fernando Luiz Pio dos Santos .

Editor information

Editors and Affiliations

  1. Universidad de Granada , Granada, Spain

    Ignacio Rojas

  2. University of Malaga , Malaga, Spain

    Gonzalo Joya

  3. Polytechnic University of Catalonia, Vilanova i la Geltrú, Barcelona, Spain

    Andreu Catala

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dos Santos Benedito, A., Pio dos Santos, F.L. (2017). A Novel Technique to Estimate Biological Parameters in an Epidemiology Problem. In: Rojas, I., Joya, G., Catala, A. (eds) Advances in Computational Intelligence. IWANN 2017. Lecture Notes in Computer Science(), vol 10305. Springer, Cham. https://doi.org/10.1007/978-3-319-59153-7_10

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  • DOI: https://doi.org/10.1007/978-3-319-59153-7_10

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-59152-0

  • Online ISBN: 978-3-319-59153-7

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