Abstract
We study entire solutions of a two-component competition system with Lotka-Volterra type nonlinearity in a lattice. It is known that this system has traveling wave front solutions and enjoys comparison principle. Based on these solutions, we construct some new entire solutions which behave as two traveling wave fronts moving towards each other from both sides of x-axis.
| Original language | English |
|---|---|
| Pages (from-to) | 17-28 |
| Number of pages | 12 |
| Journal | Tohoku Mathematical Journal |
| Volume | 62 |
| Issue number | 1 |
| DOIs | |
| State | Published - 2010 |
Keywords
- Entire solution
- Lattice dynamical system
- Traveling wave front
- Wave speed