Modelling the aqueous transport of an infectious pathogen in regional communities: application to the cholera outbreak in Haiti | Zendy

W. E. Fitzgibbon | Zendy; Jeffrey J. Morgan | Zendy; Glenn F. Webb | Zendy; Yixiang Wu | Zendy

Open Access

Modelling the aqueous transport of an infectious pathogen in regional communities: application to the cholera outbreak in Haiti

Author(s) -

W. E. Fitzgibbon,

Jeffrey J. Morgan,

Glenn F. Webb,

Yixiang Wu

Publication year - 2020

Publication title -

journal of the royal society interface

Language(s) - English

Resource type - Journals

eISSN - 1742-5689

pISSN - 1742-5662

DOI - 10.1098/rsif.2020.0429

Subject(s) - outbreak , cholera , advection , infectious disease (medical specialty) , geography , pathogen , term (time) , waterborne diseases , environmental science , biology , virology , microbiology and biotechnology , disease , medicine , physics , pathology , quantum mechanics , thermodynamics

A mathematical model is developed to describe the dynamics of the spread of a waterborne disease among communities located along a flowing waterway. The model is formulated as a system of reaction–diffusion–advection partial differential equations in this spatial setting. The compartments of the model consist of susceptible, infected, and recovered individuals in the communities along the waterway, together with a term representing the pathogen load in each community and a term representing the spatial concentration of pathogens flowing along the waterway. The model is applied to the cholera outbreak in Haiti in 2010.

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