A cholera mathematical model with vaccination and the biggest outbreak of world’s history
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 asy...
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| Format: | Article |
| Language: | English |
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AIMS Press
2018-10-01
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| Series: | AIMS Mathematics |
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| Online Access: | http://www.aimspress.com/article/10.3934/Math.2018.4.448/fulltext.html |
| _version_ | 1811308438456631296 |
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| author | Ana P. Lemos-Paião Cristiana J. Silva Delfim F. M. Torres |
| author_facet | Ana P. Lemos-Paião Cristiana J. Silva Delfim F. M. Torres |
| author_sort | Ana P. Lemos-Paião |
| collection | DOAJ |
| description | 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 27<sup>th</sup> April 2017, in Yemen. Between 27<sup>th</sup> April 2017 and 15th April 2018there were 2 275 deaths due to this epidemic. A vaccination campaign began on 6<sup>th</sup> May 2018 andended on 15<sup>th</sup> 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. |
| first_indexed | 2024-04-13T09:23:05Z |
| format | Article |
| id | doaj.art-4141b857cfc240349c457c85f249119e |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-04-13T09:23:05Z |
| publishDate | 2018-10-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-4141b857cfc240349c457c85f249119e2022-12-22T02:52:31ZengAIMS PressAIMS Mathematics2473-69882018-10-013444846310.3934/Math.2018.4.448A cholera mathematical model with vaccination and the biggest outbreak of world’s historyAna P. Lemos-Paião0Cristiana J. Silva1Delfim F. M. Torres2Center for Research and Development in Mathematics and Applications (CIDMA), Department ofMathematics, University of Aveiro, 3810-193 Aveiro, PortugalCenter for Research and Development in Mathematics and Applications (CIDMA), Department ofMathematics, University of Aveiro, 3810-193 Aveiro, PortugalCenter for Research and Development in Mathematics and Applications (CIDMA), Department ofMathematics, University of Aveiro, 3810-193 Aveiro, PortugalWe 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 27<sup>th</sup> April 2017, in Yemen. Between 27<sup>th</sup> April 2017 and 15th April 2018there were 2 275 deaths due to this epidemic. A vaccination campaign began on 6<sup>th</sup> May 2018 andended on 15<sup>th</sup> 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.http://www.aimspress.com/article/10.3934/Math.2018.4.448/fulltext.htmlmathematical modeling| SITRVB cholera model| local asymptotic stability| vaccinationtreatment| Yemen cholera outbreak |
| spellingShingle | 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 mathematical modeling| SITRVB cholera model| local asymptotic stability| vaccinationtreatment| Yemen cholera outbreak |
| title | A cholera mathematical model with vaccination and the biggest outbreak of world’s history |
| title_full | A cholera mathematical model with vaccination and the biggest outbreak of world’s history |
| title_fullStr | A cholera mathematical model with vaccination and the biggest outbreak of world’s history |
| title_full_unstemmed | A cholera mathematical model with vaccination and the biggest outbreak of world’s history |
| title_short | A cholera mathematical model with vaccination and the biggest outbreak of world’s history |
| title_sort | cholera mathematical model with vaccination and the biggest outbreak of world s history |
| topic | mathematical modeling| SITRVB cholera model| local asymptotic stability| vaccinationtreatment| Yemen cholera outbreak |
| url | http://www.aimspress.com/article/10.3934/Math.2018.4.448/fulltext.html |
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