Stability of Traveling Waves to the Lotka-Volterra Competition Model

Ahmad Alhasanat and Chunhua Ou

Complexity, 2019, vol. 2019, 1-11

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.

Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:hin:complx:6569520

DOI: 10.1155/2019/6569520

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