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A note on the existence of periodic travelling wave solutions with large periods in generalized reaction-diffusion systems

✍ Scribed by K. R. Schneider

Publisher
Springer
Year
1983
Tongue
English
Weight
208 KB
Volume
34
Category
Article
ISSN
0044-2275

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Existence, uniqueness and asymptotic stability of time periodic traveling waves for a periodic Lotka–Volterra competition system with diffusion
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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