Abstract
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.
| Original language | English |
|---|---|
| Pages (from-to) | 745-754 |
| Number of pages | 10 |
| Journal | Applied Mathematical Modelling |
| Volume | 47 |
| DOIs | |
| State | Published - Jul 2017 |
Keywords
- Cross-dispersal
- Graph theory
- Lyapunov functions
- Multi-group models
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