Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4613734 | Journal of Mathematical Analysis and Applications | 2017 | 21 Pages |
Abstract
In this paper, we study a discrete diffusive Lotka–Volterra competition system. It is known that this system has traveling wavefronts. We prove that the traveling wavefronts are exponentially stable, when the initial perturbation around the traveling wavefronts decays exponentially as x→−∞x→−∞, but can be arbitrarily large in other locations. The approach we use here is the comparison principle and the weighted energy method.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Ge Tian, Guo-Bao Zhang,