STABILITY ANALYSIS FOR DISCRETE-TIME COUPLED SYSTEMS WITH MULTI-DIFFUSION BY GRAPH-THEORETIC APPROACH AND ITS APPLICATION

HUAN SU; PENGFEI WANG; XIAOHUA DING

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STABILITY ANALYSIS FOR DISCRETE-TIME COUPLED SYSTEMS WITH MULTI-DIFFUSION BY GRAPH-THEORETIC APPROACH AND ITS APPLICATION

机译：离散理论的离散扩散系统稳定性的图形理论方法及其应用

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In this paper, we investigate the global stability of discrete-time coupled systems with multi-diffusion (DCSMDs). By utilizing a multi-digraph theory, we construct a global Lyapunov function for DCSMDs. Consequently, some sufficient conditions are presented to ensure the stability of a general DCSMDs. Then the proposed theory is successfully applied to analyze the global stability for a discrete-time predator-prey model which is discretized by a nonstandard finite difference scheme. Finally, an example with numerical simulation is given to demonstrate the effectiveness of the obtained results.

机译：在本文中，我们研究了具有多扩散（DCSMD）的离散时间耦合系统的全局稳定性。通过使用多重图理论，我们构造了DCSMD的全局Lyapunov函数。因此，提出了一些足够的条件来确保一般DCSMD的稳定性。然后，将所提出的理论成功地用于分析由非标准有限差分方案离散化的离散时间捕食者－被捕食模型的全局稳定性。最后，通过数值仿真的例子说明了所获得结果的有效性。

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来源
《Discrete and continuous dynamical systems》 |2016年第1期|253-269|共17页
作者
HUAN SU; PENGFEI WANG; XIAOHUA DING;
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作者单位

Department of Mathematics, Harbin Institute of Technology at Weihai Weihai 264209, China;

Department of Mathematics, Harbin Institute of Technology at Weihai Weihai 264209, China;

Department of Mathematics, Harbin Institute of Technology at Weihai Weihai 264209, China;

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正文语种 eng
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关键词
Global stability; multi-diffusion; graph-theoretic method; nonstandard finite difference scheme;

机译：全球稳定;多重扩散图论方法非标准有限差分方案;

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STABILITY ANALYSIS FOR DISCRETE-TIME COUPLED SYSTEMS WITH MULTI-DIFFUSION BY GRAPH-THEORETIC APPROACH AND ITS APPLICATION

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