Abstract
In this paper, we will focus on the spreading speed for a Lotka- Volterra type weak competition model with free boundary in one-dimensional habitat. Based on the comparison principle for free boundary problems, we provide some estimates of the spreading speed. Also, we deal with traveling wave solutions for the same model and show that there exists a traveling wave solution with monotone profile using a shooting method and the Schauder's fixed point theorem.
| Original language | American English |
|---|---|
| Pages (from-to) | 2441-2455 |
| Number of pages | 15 |
| Journal | Discrete and Continuous Dynamical Systems - Series B |
| Volume | 18 |
| Issue number | 9 |
| DOIs | |
| State | Published - 1 Nov 2013 |
Keywords
- Free boundary
- Lotka-Volterra model
- Spreading speed
- Traveling wave
- Wave speed