Stability of Traveling Waves to the Lotka-Volterra Competition Model. (1st January 2019)

• Record Type: Journal Article
• Authors: Alhasanat, Ahmad; Ou, Chunhua
• Other Names: Villafuerte-Segura Raúl Guest Editor.
• Is Part Of: Complexity. Volume 2019(2019)
• Publication Date: 2019-01-01
• Subjects: Chaotic behavior in systems -- Periodicals; Complexity (Philosophy) -- Periodicals; 003
• DOI: 10.1155/2019/6569520
• Languages: English
• ISSNs: 1076-2787

Abstract

Abstract : 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.