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A uniqueness result for periodic traveling waves in water of finite depth

✍ Scribed by Henrik Kalisch

Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
185 KB
Volume
58
Category
Article
ISSN
0362-546X

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Existence, uniqueness and asymptotic stability of time periodic traveling waves for a periodic Lotka–Volterra competition system with diffusion
✍ Guangyu Zhao; Shigui Ruan πŸ“‚ Article πŸ“… 2011 πŸ› Elsevier Science 🌐 English βš– 469 KB

We study the existence, uniqueness, and asymptotic stability of time periodic traveling wave solutions to a periodic diffusive Lotka-Volterra competition system. Under certain conditions, we prove that there exists a maximal wave speed c(\*) such that for each wave speed c ≀ c(\*), there is a time p