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

被引：95

作者：

Eisenberg, Marisa C. ^{[1
,2
]}

Shuai, Zhisheng ^{[3
]}

Tien, Joseph H. ^{[4
]}

van den Driessche, P. ^{[5
]}

机构：

[1] Univ Michigan, Dept Epidemiol, Ann Arbor, MI 48109 USA

[2] Univ Michigan, Dept Math, Ann Arbor, MI 48109 USA

[3] Univ Cent Florida, Dept Math, Orlando, FL 32816 USA

[4] Ohio State Univ, Dept Math, Columbus, OH 43210 USA

[5] Univ Victoria, Dept Math & Stat, Victoria, BC V8W 3R4, Canada

来源：

MATHEMATICAL BIOSCIENCES | 2013年 / 246卷 / 01期

基金：

美国国家科学基金会; 加拿大自然科学与工程研究理事会;

关键词：

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;

D O I：

10.1016/j.mbs.2013.08.003

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

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.

引用

页码：105 / 112

页数：8

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