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Stability of traveling wave solutions for a nonlocal Lotka-Volterra model
oleh: Xixia Ma, Rongsong Liu, Liming Cai
Format: | Article |
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Diterbitkan: | AIMS Press 2024-01-01 |
Deskripsi
In this paper, we studied the stability of traveling wave solutions of a two-species Lotka-Volterra competition model in the form of a coupled system of reaction diffusion equations with nonlocal intraspecific and interspecific competitions in space at times. First, the uniform upper bounds for the solutions of the model was proved. By using the anti-weighted method and the energy estimates, the asymptotic stability of traveling waves with large wave speeds of the system was established.