期刊
COMPUTERS & MATHEMATICS WITH APPLICATIONS
卷 72, 期 1, 页码 202-215出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.camwa.2016.04.046
关键词
Waterborne pathogens; Direct and indirect transmission; Diffusion; Spatial heterogeneity; Basic reproduction number; Persistence
资金
- Fundamental Research Funds for the Central Universities [lzujbky-2015-210]
- NSF of China [11371179]
In this paper a reaction-diffusion waterborne pathogen model, which incorporates both direct and indirect transmission pathways, is proposed. Then the basic reproduction number No defined as the spectral radius of the next generation operator is established for the model system, and an equivalent characterization of R-0 is obtained in terms of an elliptic eigenvalue problem. Furthermore, we show that R-0 serves as a threshold parameter which predicts whether the disease will persist. By using numerical simulations, we study the influence of diffusion coefficients, spatial heterogeneity and multiple transmission pathways. (C) 2016 Elsevier Ltd. All rights reserved.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据