Title

A Cholera Model In A Patchy Environment With Water And Human Movement

Keywords

Cholera; Control strategy; Global stability; Human movement; Patch model; Water movement

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 R0 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 R0 on the connectivity and movement of water, and to prove the global stability of the endemic equilibrium when R0>1. The type/target reproduction numbers are derived to measure the control strategies that are required to eradicate cholera from all patches. © 2013 Elsevier Inc.

Publication Date

11-1-2013

Publication Title

Mathematical Biosciences

Volume

246

Issue

1

Number of Pages

105-112

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1016/j.mbs.2013.08.003

Socpus ID

84887017004 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/84887017004

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