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Acta Biotheoretica

, Volume 66, Issue 4, pp 279–291 | Cite as

Theoretical Assessment of the Impact of Climatic Factors in a Vibrio Cholerae Model

  • G. KolayeEmail author
  • I. Damakoa
  • S. Bowong
  • R. Houe
  • D. Békollè
Regular Article

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 equilibria 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 products against the bacteria during the periods of growth of aquatic reservoirs.

Keywords

Mathematical model V. Cholerae Climatic factors Cooperative systems Stability 

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Copyright information

© Springer Science+Business Media B.V., part of Springer Nature 2018

Authors and Affiliations

  1. 1.Saint Jerome PolytechnicSaint Jerome Catholic University Institute of DoualaDoualaCameroon
  2. 2.Department of Mathematics and Computer Science, Faculty of ScienceUniversity of NgaoundereNgaoundereCameroon
  3. 3.Laboratory of Mathematics, Department of Mathematics and Computer Science, Faculty of ScienceUniversity of DoualaDoualaCameroon
  4. 4.University of Toulouse, INPT, LGP-ENIT 47Tarbes CedexFrance
  5. 5.UMI 209 IRD & UPMC UMMISCOBondyFrance
  6. 6.Project team GRIMCAPE-Cameroon, The African Center of Excellence in Information and Communication Technologies (CETIC)University of Yaounde 1YaoundeCameroon

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