Stability of Traveling Waves to the Lotka-Volterra Competition Model

الملخص EN

In this paper, the stability of traveling wave solutions to the Lotka-Volterra diffusive model is investigated.

First, we convert the model into a cooperative system by a special transformation.

The local and the global stability of the traveling wavefronts are studied in a weighted functional space.

For the global stability, comparison principle together with the squeezing technique is applied to derive the main results.