A metapopulation model for the spread of cholera

TL;DR

This paper develops a metapopulation model for cholera that incorporates individual movement, water contamination, and vaccination, analyzing stability conditions and providing numerical insights.

Contribution

It introduces a novel metapopulation framework for cholera that explicitly models movement and water contamination, and analyzes stability conditions.

Findings

Global stability of disease-free state when reproduction numbers are below one

Numerical analysis of model dynamics

Insights into vaccination effects on cholera spread

Abstract

We consider a metapopulation model of cholera describing explicitly the movement of individuals and contaminated water between locations as well as a simple vaccination mechanism. The global stability of the disease-free equilibrium point when the location-specific reproduction numbers are all less than unity is established. We then conduct some numerical investigation of the model.