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Theoretical assessment of the impact of climatic factors in a vibrio cholerae model

Kolaye, Gabriel and Damakoa, Irépran and Bowong Tsakou, Samuel and Houé Ngouna, Raymond and Békollè, David Theoretical assessment of the impact of climatic factors in a vibrio cholerae model. (2018) Acta Biotheoretica. ISSN 0001-5342

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Official URL: https://doi.org/10.1007/s10441-018-9322-2

Abstract

A mathematical model for Vibrio Cholerae (V. Cholerae) in a closed environment is considered, with the aim of investigating the impact of climatic factors which exerts a direct influence on the bacterial metabolism and on the bacterial reservoir capacity. We first propose a V. Cholerae mathematical model in a closed environment. A sensitivity analysis using the eFast method was performed to show the most important parameters of the model. After, we extend this V. cholerae model by taking account climatic factors that influence the bacterial reservoir capacity. We present the theoretical analysis of the model. More precisely, we compute equilib-ria and study their stabilities. The stability of equilibria was investigated using the theory of periodic cooperative systems with a concave nonlinearity. Theoretical results are supported by numerical simulations which further suggest the necessity to implement sanitation campaigns of aquatic environments by using suitable prod-ucts against the bacteria during the periods of growth of aquatic reservoirs.

Item Type:Article
Additional Information:http://www.sherpa.ac.uk/romeo/search.php
HAL Id:hal-01905420
Audience (journal):International peer-reviewed journal
Uncontrolled Keywords:
Institution:Université de Toulouse > Institut National Polytechnique de Toulouse - INPT (FRANCE)
French research institutions > Institut de Recherche pour le Développement - IRD (FRANCE)
Other partners > Saint Jérome catholic University Douala (CAMEROON)
Other partners > Sorbonne Université (FRANCE)
Other partners > University of Douala (CAMEROON)
Other partners > Université des Sciences et des Technologies de Hanoi - USTH (VIETNAM)
Other partners > Université de Yaoundé I (CAMEROON)
Other partners > University of Cadi Ayyad - UCAM (MOROCCO)
Other partners > Université Cheikh Anta Diop de Dakar - UCAD (SENEGAL)
Other partners > Université Gaston Berger de Saint-Louis - UGB (SENEGAL)
Other partners > Université de Ngaoundéré (CAMEROON)
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Deposited By: Pascale Lalot
Deposited On:03 Oct 2018 09:17

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