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Existence, Uniqueness, and Stability of Generalized Traveling Waves in Time Dependent Monostable Equations

✍ Scribed by Wenxian Shen

Publisher
Springer US
Year
2011
Tongue
English
Weight
465 KB
Volume
23
Category
Article
ISSN
1040-7294

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πŸ“œ SIMILAR VOLUMES

Existence, uniqueness and asymptotic sta
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