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MODELING CHOLERA TRANSMISSION UNDER DISEASE CONTROL MEASURES

MARGARET BROWN

Department of Mathematics, Pennsylvania State University, University Park, PA 16802, USA

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MIKO JIANG

Department of Mathematics, Brandeis University, Waltham, MA 02453, USA

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CHAYU YANG

Department of Mathematics, University of Florida, Gainesville, FL 32611, USA

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, and

JIN WANG

Department of Mathematics, University of Tennessee at Chattanooga, Chattanooga, TN 37403, USA

E-mail Address: Jin-Wang02@utc.edu

Corresponding author.

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https://doi.org/10.1142/S0218339021400015Cited by:2 (Source: Crossref)

This article is part of the issue:

Special Issue: Fifth Computational and Mathematical Population Dynamics Conference (CMPD5)
Guest Editors: Necibe Tuncer, Maia Martcheva, Olivia Prosper and Lauren Childs

Abstract

We present a new mathematical model to investigate the transmission dynamics of cholera under disease control measures that include education programs and water sanitation. The model incorporates the impact of education programs into the disease transmission rates and that of water sanitation into the environmental pathogen dynamics. We conduct a detailed analysis to the autonomous system of the model and establish the local and global stabilities of its equilibria that characterize the threshold dynamics of cholera. We then perform an optimal control study on the general model with time-dependent controls and explore effective approaches to implement the education programs and water sanitation while balancing their costs. Our analysis and simulation highlight the complex interaction among the direct and indirect transmission pathways of the disease, the intrinsic growth of the environmental pathogen and the impact of multiple control measures, and their roles in collectively shaping the transmission dynamics of cholera.

Keywords:

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