A cholera epidemic model in a spatiotemporally heterogeneous environment

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:468

Article

Wang, Xueying¹  Zhao, Xiao-Qiang²  Wang, Jin³ 

[1] Washington State Univ, Dept Math & Stat, Pullman, WA 99163 USA

[2] Mem Univ Newfoundland, Dept Math & Stat, St John, NF A1C 5S7, Canada

[3] Univ Tennessee, Dept Math, Chattanooga, TN 37403 USA

关键词: Cholera models;    Spatiotemporally heterogeneous environments;    Threshold dynamics;   

DOI  :  10.1016/j.jmaa.2018.08.039

来源: Elsevier

【 摘 要 】

The transmission of cholera, a water- and food-borne intestinal infection, involves complex interactions among human hosts, pathogens, and the environment, and is impacted by the spatial variation and seasonal fluctuation. In this paper, we propose a new deterministic model to investigate the spatiotemporal dynamics of cholera transmission. The model employs a reaction-convection-diffusion system to represent the spatial movement of the hosts and pathogens, and incorporates time-periodic parameters to describe the seasonality of the disease transmission and bacterial growth rates. Using the theory of principle eigenvalues, we define and analyze the basic reproduction number of this model, based on which we establish the threshold type results for cholera transmission in a spatiotemporally heterogeneous environment. (C) 2018 Elsevier Inc. All rights reserved.

【 授权许可】

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