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Generalized Traveling Waves in Disordered Media: Existence, Uniqueness, and Stability

✍ Scribed by Andrej Zlatoš

Book ID
120747809
Publisher
Springer
Year
2013
Tongue
English
Weight
435 KB
Volume
208
Category
Article
ISSN
0003-9527

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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 📂 Article 📅 2011 🏛 Elsevier Science 🌐 English ⚖ 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