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Modeling the Influence of Environment and Intervention onCholera in Haiti

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  • Stephen Tennenbaum

    (Department of Mathematics, The George Washington University, 2115 G St. NW, Washington,DC 20052, USA)

  • Caroline Freitag

    (Department of Mathematics, The George Washington University, 2115 G St. NW, Washington,DC 20052, USA)

  • Svetlana Roudenko

    (Department of Mathematics, The George Washington University, 2115 G St. NW, Washington,DC 20052, USA)

Abstract

We propose a simple model with two infective classes in order to model the cholera epidemic in Haiti. We include the impact of environmental events (rainfall, temperature and tidal range) on the epidemic in the Artibonite and Ouest regions by introducing terms in the transmission rate that vary with environmental conditions. We fit the model on weekly data from the beginning of the epidemic until December 2013, including the vaccination programs that were recently undertaken in the Ouest and Artibonite regions. We then modified these projections excluding vaccination to assess the programs’ effectiveness. Using real-time daily rainfall, we found lag times between precipitation events and new cases that range from 3:4 to 8:4 weeks in Artibonite and 5:1 to 7:4 in Ouest. In addition, it appears that, in the Ouest region, tidal influences play a significant role in the dynamics of the disease. Intervention efforts of all types have reduced case numbers in both regions; however, persistent outbreaks continue. In Ouest, where the population at risk seems particularly besieged and the overall population is larger, vaccination efforts seem to be taking hold more slowly than in Artibonite, where a smaller core population was vaccinated. The models including the vaccination programs predicted that a year and six months later, the mean number of cases in Artibonite would be reduced by about two thousand cases, and in Ouest by twenty four hundred cases below that predicted by the models without vaccination. We also found that vaccination is best when done in the early spring, and as early as possible in the epidemic. Comparing vaccination between the first spring and the second, there is a drop of about 40% in the case reduction due to the vaccine and about 10% per year after that.

Suggested Citation

  • Stephen Tennenbaum & Caroline Freitag & Svetlana Roudenko, 2014. "Modeling the Influence of Environment and Intervention onCholera in Haiti," Mathematics, MDPI, vol. 2(3), pages 1-36, September.
    • Handle: RePEc:gam:jmathe:v:2:y:2014:i:3:p:136-171:d:40002
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    References listed on IDEAS

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    1. Katia Koelle & Xavier Rodó & Mercedes Pascual & Md. Yunus & Golam Mostafa, 2005. "Refractory periods and climate forcing in cholera dynamics," Nature, Nature, vol. 436(7051), pages 696-700, August.
    2. J. O. Ramsay & G. Hooker & D. Campbell & J. Cao, 2007. "Parameter estimation for differential equations: a generalized smoothing approach," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 69(5), pages 741-796, November.
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