Mathematical modeling of Zika disease in pregnant women and newborns with microcephaly in Brazil

Ndaïrou, Faïçal; Area, Iván; Nieto, Juan J.; Silva, Cristiana J.; Torres, Delfim F. M.

doi:10.1002/mma.4702

Title: Mathematical modeling of Zika disease in pregnant women and newborns with microcephaly in Brazil

Abstract

We propose a new mathematical model for the spread of Zika virus. Special attention is paid to the transmission of microcephaly. Numerical simulations show the accuracy of the model with respect to the Zika outbreak occurred in Brazil.

Authors:

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African Institute for Mathematical Sciences AIMS‐Cameroon P.O. Box 608 Limbé Crystal Gardens South West Region Cameroon, Departamento de Matemática Aplicada II, E.E. Aeronáutica e do Espazo Universidade de Vigo Campus As Lagoas s/n Ourense 32004 Spain
Departamento de Matemática Aplicada II, E.E. Aeronáutica e do Espazo Universidade de Vigo Campus As Lagoas s/n Ourense 32004 Spain
Instituto de Matemáticas Universidade de Santiago de Compostela Santiago de Compostela 15782 Spain
Center for Research and Development in Mathematics and Applications (CIDMA), Department of Mathematics University of Aveiro Aveiro 3810‐193 Portugal

Publication Date:: Thu Dec 21 00:00:00 EST 2017

Sponsoring Org.:: USDOE

OSTI Identifier:: 1414488

Resource Type:: Publisher's Accepted Manuscript

Journal Name:: Mathematical Methods in the Applied Sciences

Additional Journal Information:: Journal Name: Mathematical Methods in the Applied Sciences Journal Volume: 41 Journal Issue: 18; Journal ID: ISSN 0170-4214

Publisher:: Wiley Blackwell (John Wiley & Sons)

Country of Publication:: Germany

Language:: English

Citation Formats


                    Ndaïrou, Faïçal, Area, Iván, Nieto, Juan J., Silva, Cristiana J., and Torres, Delfim F. M. Mathematical modeling of Zika disease in pregnant women and newborns with microcephaly in Brazil.  Germany: N. p., 2017. 
Web.  doi:10.1002/mma.4702.

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                    Ndaïrou, Faïçal, Area, Iván, Nieto, Juan J., Silva, Cristiana J., & Torres, Delfim F. M. Mathematical modeling of Zika disease in pregnant women and newborns with microcephaly in Brazil.  Germany.  https://doi.org/10.1002/mma.4702

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                    Ndaïrou, Faïçal, Area, Iván, Nieto, Juan J., Silva, Cristiana J., and Torres, Delfim F. M. Thu .  
"Mathematical modeling of Zika disease in pregnant women and newborns with microcephaly in Brazil".  Germany.  https://doi.org/10.1002/mma.4702.

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@article{osti_1414488,

  title        = {Mathematical modeling of Zika disease in pregnant women and newborns with microcephaly in Brazil},

  author       = {Ndaïrou, Faïçal and Area, Iván and Nieto, Juan J. and Silva, Cristiana J. and Torres, Delfim F. M.},

  abstractNote = {We propose a new mathematical model for the spread of Zika virus. Special attention is paid to the transmission of microcephaly. Numerical simulations show the accuracy of the model with respect to the Zika outbreak occurred in Brazil.},

  doi          = {10.1002/mma.4702},

  journal      = {Mathematical Methods in the Applied Sciences},

  number       = 18,

  volume       = 41,

  place        = {Germany},

  year         = {Thu Dec 21 00:00:00 EST 2017},

  month        = {Thu Dec 21 00:00:00 EST 2017}

}

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Works referenced in this record:

Dengue disease, basic reproduction number and control
journal, February 2012

Rodrigues, Helena Sofia; Monteiro, M. Teresa T.; Torres, Delfim F. M.
International Journal of Computer Mathematics, Vol. 89, Issue 3
DOI: 10.1080/00207160.2011.554540

Mathematical model of Zika virus with vertical transmission
journal, May 2017

Agusto, F. B.; Bewick, S.; Fagan, W. F.
Infectious Disease Modelling, Vol. 2, Issue 2
DOI: 10.1016/j.idm.2017.05.003

Seasonality effects on dengue: basic reproduction number, sensitivity analysis and optimal control: Seasonality effects on dengue: basic reproduction number, sensitivity analysis and optimal control
journal, December 2014

Rodrigues, Helena Sofia; Monteiro, M. Teresa T.; Torres, Delfim F. M.
Mathematical Methods in the Applied Sciences, Vol. 39, Issue 16
DOI: 10.1002/mma.3319

Determining Important Parameters in the Spread of Malaria Through the Sensitivity Analysis of a Mathematical Model
journal, February 2008

Chitnis, Nakul; Hyman, James M.; Cushing, Jim M.
Bulletin of Mathematical Biology, Vol. 70, Issue 5
DOI: 10.1007/s11538-008-9299-0

Optimal control of a vector-host epidemics model
journal, November 2011

Kong, Qingkai; Qiu, Zhipeng; Sang, Zi
Mathematical Control and Related Fields, Vol. 1, Issue 4
DOI: 10.3934/mcrf.2011.1.493

Reproduction numbers of infectious disease models
journal, August 2017

van den Driessche, Pauline
Infectious Disease Modelling, Vol. 2, Issue 3
DOI: 10.1016/j.idm.2017.06.002

Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
journal, November 2002

van den Driessche, P.; Watmough, James
Mathematical Biosciences, Vol. 180, Issue 1-2
DOI: 10.1016/S0025-5564(02)00108-6

Molecular mapping of Zika spread
journal, May 2017

Worobey, Michael
Nature, Vol. 546, Issue 7658
DOI: 10.1038/nature22495

Box invariance in biologically-inspired dynamical systems
journal, July 2009

Abate, Alessandro; Tiwari, Ashish; Sastry, Shankar
Automatica, Vol. 45, Issue 7
DOI: 10.1016/j.automatica.2009.02.028

Zika Virus Infects Human Cortical Neural Progenitors and Attenuates Their Growth
journal, May 2016

Tang, Hengli; Hammack, Christy; Ogden, Sarah C.
Cell Stem Cell, Vol. 18, Issue 5
DOI: 10.1016/j.stem.2016.02.016

Role of short-term dispersal on the dynamics of Zika virus in an extreme idealized environment
journal, February 2017

Moreno, Victor M.; Espinoza, Baltazar; Bichara, Derdei
Infectious Disease Modelling, Vol. 2, Issue 1
DOI: 10.1016/j.idm.2016.12.002

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Title: Mathematical modeling of Zika disease in pregnant women and newborns with microcephaly in Brazil

Abstract

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