Spread of disease in a patchy environment

被引：1
|
作者：
Liu, Junli [1 ]
机构：
[1] Xian Polytech Univ, Sch Sci, Xian 710048, Peoples R China
来源：
CHAOS SOLITONS & FRACTALS | 2012年 / 45卷 / 07期
基金：
中国国家自然科学基金;
关键词：
SIR EPIDEMIC MODEL; TIME-DELAY; GLOBAL STABILITY; SYSTEMS;
D O I：
10.1016/j.chaos.2012.03.007
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
For a two patches SIR model, it is shown that its dynamic behavior is determined by several quantities. We have shown that if R-0 < 1, then the disease-free equilibrium is globally asymptotically stable, otherwise it is unstable. Some sufficient conditions for the local stability of boundary equilibria are obtained. Numerical simulations indicate that travel between patches can reduces oscillations in both patches; may enhances oscillations in both patches; or travel switches oscillations from one patch to another. (C) 2012 Elsevier Ltd. All rights reserved.
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页码：942 / 949
页数：8
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