Global-stability problem for coupled systems of differential equations on networks
Global-stability problem for coupled systems of differential equations on networks
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DOI：
10.1016/j.jde.2009.09.003
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发表时间：
2010-01-01
影响因子：
2.4
通讯作者：
Shuai, Zhisheng
中科院分区：
文献类型：
--
作者：
Li, Michael Y.;Shuai, Zhisheng
研究了网络上耦合微分方程组平衡点的全局稳定性问题。利用图论的结果，我们开发了一种系统的方法，该方法允许人们从单个顶点系统的构建块来构造大规模耦合系统的全局李雅普诺夫函数。该方法被应用到几类耦合系统的工程，生态和流行病学，并改善现有的结果。(C)2009 Elsevier Inc. All rights reserved.
The global-stability problem of equilibria is investigated for coupled systems of differential equations on networks. Using results from graph theory, we develop a systematic approach that allows one to construct global Lyapunov functions for large-scale coupled systems from building blocks of individual vertex systems. The approach is applied to several classes of coupled systems in engineering, ecology and epidemiology, and is shown to improve existing results. (C) 2009 Elsevier Inc. All rights reserved.