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A cholera mathematical model with vaccination and the biggest outbreak of world’s history

Center for Research and Development in Mathematics and Applications (CIDMA), Department ofMathematics, University of Aveiro, 3810-193 Aveiro, Portugal

Topical Section: Mathematical modeling

We propose and analyse a mathematical model for cholera considering vaccination. Weshow that the model is epidemiologically and mathematically well posed and prove the existenceand uniqueness of disease-free and endemic equilibrium points. The basic reproduction number isdetermined and the local asymptotic stability of equilibria is studied. The biggest cholera outbreak ofworld’s history began on 27th April 2017, in Yemen. Between 27th April 2017 and 15th April 2018there were 2 275 deaths due to this epidemic. A vaccination campaign began on 6th May 2018 andended on 15th May 2018. We show that our model is able to describe well this outbreak. Moreover, weprove that the number of infected individuals would have been much lower provided the vaccinationcampaign had begun earlier.
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Keywords mathematical modeling; SITRVB cholera model; local asymptotic stability; vaccinationtreatment; Yemen cholera outbreak

Citation: Ana P. Lemos-Paião, Cristiana J. Silva, Delfim F. M. Torres. A cholera mathematical model with vaccination and the biggest outbreak of world’s history. AIMS Mathematics, 2018, 3(4): 448-463. doi: 10.3934/Math.2018.4.448


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