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The Burden of the Coinfection of HIV and TB in the Presence of Multi-drug Resistant Strains

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Dynamical Systems in Theoretical Perspective (DSTA 2017)

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Abstract

We introduce a fractional-order model for the coinfection of the immunodeficiency virus and tuberculosis, in the presence of drug resistant tuberculosis strains and treatment for both diseases. We compute the reproduction number of the model. Numerical simulations show the different dynamics of the model for variation of relevant parameters. Moreover, the order of the fractional derivative plays an important role in the severity of the epidemics.

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Acknowledgements

The authors were partially funded by the European Regional Development Fund through the program COMPETE and by the Portuguese Government through the FCT - Fundação para a Ciência e a Tecnologia under the project PEst-C/MAT/UI0144/2013. The research of AC was partially supported by a FCT grant with reference SFRH/BD/96816/2013.

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Authors and Affiliations

  1. Faculty of Sciences, University of Porto, Rua do Campo Alegre s/n, Porto, 4440-452, Portugal

    Ana Carvalho

  2. School of Engineering, Polytechnic of Porto and Center for Mathematics of the University of Porto, Rua Dr Ant ónio Bernardino de Almeida 431, Porto, 4200-072, Portugal

    Carla M. A. Pinto

Authors
  1. Ana Carvalho
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  2. Carla M. A. Pinto
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Corresponding author

Correspondence to Carla M. A. Pinto .

Editor information

Editors and Affiliations

  1. Department of Automation, Biomechanics and Mechatronics, Łódź University of Technology, Łódź, Poland

    Jan Awrejcewicz

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Carvalho, A., Pinto, C.M.A. (2018). The Burden of the Coinfection of HIV and TB in the Presence of Multi-drug Resistant Strains. In: Awrejcewicz, J. (eds) Dynamical Systems in Theoretical Perspective. DSTA 2017. Springer Proceedings in Mathematics & Statistics, vol 248. Springer, Cham. https://doi.org/10.1007/978-3-319-96598-7_8

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