Global Stability of Traveling Waves for the Lotka–Volterra Competition System with Three Species.

The stability of traveling waves for the Lotka–Volterra competition system with three species is investigated in this paper. Specifically, we first show the asymptotic behavior of traveling wave solutions and then establish the local stability and the global stability under the weighted functional space. For local stability, the spectrum approach is used, while for global stability, the comparison principle and squeezing theorem are combined. [ABSTRACT FROM AUTHOR]