Title

A cholera model in a patchy environment with water and human movement

Authors

Authors

M. C. Eisenberg; Z. S. Shuai; J. H. Tien;P. van den Driessche

Comments

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Abbreviated Journal Title

Math. Biosci.

Keywords

Cholera; Patch model; Water movement; Human movement; Global stability; Control strategy; MULTIPLE TRANSMISSION PATHWAYS; DISEASE TRANSMISSION; POPULATION; DISPERSAL; INFECTIOUS-DISEASE; GLOBAL DYNAMICS; SPATIAL SPREAD; EPIDEMIC; HAITI; Biology; Mathematical & Computational Biology

Abstract

A mathematical model for cholera is formulated that incorporates direct and indirect transmission, patch structure, and both water and human movement. The basic reproduction number 72.0 is defined and shown to give a sharp threshold that determines whether or not the disease dies out. Kirchhoff's Matrix Tree Theorem from graph theory is used to investigate the dependence of R-0 on the connectivity and movement of water, and to prove the global stability of the endemic equilibrium when R-0 > 1. The type/target reproduction numbers are derived to measure the control strategies that are required to eradicate cholera from all patches. (C) 2013 Elsevier Inc. All rights reserved.

Journal Title

Mathematical Biosciences

Volume

246

Issue/Number

1

Publication Date

1-1-2013

Document Type

Article

Language

English

First Page

105

Last Page

112

WOS Identifier

WOS:000327567100011

ISSN

0025-5564

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