期刊
MATHEMATICAL BIOSCIENCES
卷 232, 期 2, 页码 110-115出版社
ELSEVIER SCIENCE INC
DOI: 10.1016/j.mbs.2011.05.001
关键词
Basic reproduction number; Media coverage; Patch model; Infectious disease; Global stability; Uniform persistence
资金
- NSF [DMS-1022728]
- Division Of Mathematical Sciences
- Direct For Mathematical & Physical Scien [1022728] Funding Source: National Science Foundation
In this paper, an SIS patch model with non-constant transmission coefficients is formulated to investigate the effect of media coverage and human movement on the spread of infectious diseases among patches. The basic reproduction number R-0 is determined. It is shown that the disease-free equilibrium is globally asymptotically stable if R-0 <= 1, and the disease is uniformly persistent and there exists at least one endemic equilibrium if R-0 > 1. In particular, when the disease is non-fatal and the travel rates of susceptible and infectious individuals in each patch are the same, the endemic equilibrium is unique and is globally asymptotically stable as R-0 > 1. Numerical calculations are performed to illustrate some results for the case with two patches. (C) 2011 Elsevier Inc. 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