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• W2525962012 abstract "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." @default.
• W2525962012 created "2016-10-07" @default.
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• W2525962012 date "2015-11-01" @default.
• W2525962012 modified "2023-10-14" @default.
• W2525962012 title "Stability analysis for discrete-time coupled systems with multi-diffusion by graph-theoretic approach and its application" @default.
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• W2525962012 doi "https://doi.org/10.3934/dcdsb.2016.21.253" @default.
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