Abstract
In this paper, we develop a general approach to deal with the asymptotic behavior of traveling wave solutions in a class of three-component lattice dynamical systems. Then we demonstrate an application of these results to construct entire solutions which behave as two traveling wave fronts moving towards each other from both sides of x-axis for a three-species competition system with Lotka–Volterra type nonlinearity in a lattice.
| Original language | English |
|---|---|
| Pages (from-to) | 317-338 |
| Number of pages | 22 |
| Journal | Journal of Dynamics and Differential Equations |
| Volume | 28 |
| Issue number | 2 |
| DOIs | |
| State | Published - 1 Jun 2016 |
Keywords
- Asymptotic behavior
- Entire solution
- Lattice dynamical systems
- Lotka–Volterra model
- Traveling wave solutions