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- W2598486149 abstract "• The new multi-group models with cross-dispersal are proposed. • Two kinds of sufficient criteria are presented for the stability of our models. • Graph theory, together with Lyapunov method, are used to solve the stability of multi-group models with cross-dispersal. • The stability criteria are shown in terms of the topology structure of digraphs. We study the stability of multi-group models. We introduce cross-dispersal term when modeling and get a general multi-group model with cross-dispersal. Based on graph theory and Lyapunov functions method, some sufficient criteria are given, which contain Lyapunov-type theorem and coefficient-type theorem. Furthermore, in order to show the applicability of our results, an example about coupled oscillators with cross-dispersal is presented, and a coefficient-type criterion is provided to analyze the stability of it. Subsequently, a numerical simulation is given to demonstrate the validity and feasibility of the theoretic results." @default.
- W2598486149 created "2017-04-07" @default.
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- W2598486149 date "2017-07-01" @default.
- W2598486149 modified "2023-10-03" @default.
- W2598486149 title "Stability of multi-group models with cross-dispersal based on graph theory" @default.
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- W2598486149 doi "https://doi.org/10.1016/j.apm.2017.03.055" @default.
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