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

Mathematical Biosciences and Engineering (Apr 2021)

A mathematical model for Vibrio-phage interactions

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

Affiliations

Christopher Botelho: 1. Department of Mathematics, University of Central Florida, Orlando, Florida, 32816, USA
Jude Dzevela Kong: 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
Mentor Ali Ber Lucien: 4. Laboratoire National de Santé Publique, Ministère de la Santé Publique et de la Population d'Haiti, Port-au-Prince, HT6120, Haiti
Zhisheng Shuai: 1. Department of Mathematics, University of Central Florida, Orlando, Florida, 32816, USA
Hao Wang: 5. Department of Mathematical and Statistical Sciences, University of Alberta, Edmonton, Alberta, T6G 2G1, Canada

DOI: https://doi.org/10.3934/mbe.2021137
Journal volume & issue: Vol. 18, no. 3
pp. 2688 – 2712

Abstract

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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.

Published in Mathematical Biosciences and Engineering

ISSN: 1551-0018 (Online)
Publisher: AIMS Press
Country of publisher: United States
LCC subjects: Technology: Chemical technology: Biotechnology; Science: Mathematics
Website: https://www.aimspress.com/journal/MBE

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Abstract

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