A mathematical model for Vibrio-phage interactions

Christopher Botelho; Jude Dzevela Kong; Mentor Ali Ber Lucien; Zhisheng Shuai; Hao Wang

doi:10.3934/mbe.2021137

A mathematical model for Vibrio-phage interactions

Math Biosci Eng. 2021 Mar 19;18(3):2688-2712. doi: 10.3934/mbe.2021137.

Authors

Christopher Botelho¹, Jude Dzevela Kong^{2

3}, Mentor Ali Ber Lucien⁴, Zhisheng Shuai¹, Hao Wang⁵

Affiliations

¹ Department of Mathematics, University of Central Florida, Orlando, Florida, 32816, USA.
² Department of Mathematics and Statistics, York University, Toronto, Ontario, M3J 1P3, Canada.
³ The Canadian Center for Disease Modelling, York University, Toronto, Ontario, M3J 1P3, Canada.
⁴ Laboratoire National de Santé Publique, Ministère de la Santé Publique et de la Population d'Haiti, Port-au-Prince, HT6120, Haiti.
⁵ Department of Mathematical and Statistical Sciences, University of Alberta, Edmonton, Alberta, T6G 2G1, Canada.

PMID: 33892567
DOI: 10.3934/mbe.2021137

Abstract

A cholera model has been formulated to incorporate the interaction of bacteria and phage. It is shown that there may exist three equilibria: one disease free and two endemic equilibria. Threshold parameters have been derived to characterize stability of these equilibria. Sensitivity analysis and disease control strategies have been employed to characterize the impact of bacteria-phage interaction on cholera dynamics.

Keywords: bacteriophage; basic reproduction number; cholera; global stability.

Publication types

Research Support, Non-U.S. Gov't
Research Support, U.S. Gov't, Non-P.H.S.

MeSH terms

Bacteriophages*
Cholera* / epidemiology
Humans
Models, Biological
Models, Theoretical
Vibrio cholerae*
Vibrio*