Journal
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
Volume 72, Issue 5, Pages 2178-2189Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.na.2009.10.016
Keywords
Monotonicity; Uniqueness; Traveling waves; Reaction-diffusion equations; Quiescent stage
Categories
Funding
- NSF of China [10871085]
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This paper is concerned with the monotonicity and uniqueness of traveling waves for a reaction-diffusion model with quiescent stage. We first obtain the exponential decay rate of wave profiles, and then we show that any profile is strictly monotone by using the strong comparison principle. Furthermore, we prove the uniqueness (up to translation) of all traveling waves including even the waves with minimal speed. (C) 2009 Elsevier Ltd. All rights reserved.
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