Abstract
This paper is concerned with the global stability analysis of discrete-time coupled systems with both time delay and multiple dispersal (DCSTMs). We provide a systematic method to constructing a global Lyapunov function for DCSTMs. By employing the graph-theoretic method on multiple digraphs and Lyapunov method, a Lyapunov-type theorem and a coefficients-type criterion for a DCSTM are derived to guarantee global stability for the DCSTM. The main results are applied to a discrete-time predator-prey model with time delay where both preys and predators disperse among l patches, which is discretized by a nonstandard finite difference scheme. A numerical example is provided to show the effectiveness of the proposed results.
| Original language | English |
|---|---|
| Pages (from-to) | 42-52 |
| Number of pages | 11 |
| Journal | Neurocomputing |
| Volume | 244 |
| DOIs | |
| State | Published - 28 Jun 2017 |
| Externally published | Yes |
Keywords
- discrete-time coupled systems
- global stability
- multi-graph theory
- nonstandard finite difference scheme
- time delay
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