期刊
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
卷 72, 期 5, 页码 2178-2189出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.na.2009.10.016
关键词
Monotonicity; Uniqueness; Traveling waves; Reaction-diffusion equations; Quiescent stage
资金
- NSF of China [10871085]
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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