Global stability of traveling waves for delay reaction-diffusion systems without quasi-monotonicity
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Date
2020-05-19
Authors
Su, Si
Zhang, Guo-Bao
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
This article concerns the global stability of traveling waves of a reaction-diffusion system with delay and without quasi-monotonicity. We prove that the traveling waves (monotone or non-monotone) are exponentially stable in L∞ (ℝ) with the exponential convergence rate t-1/2 e-μt for some constant μ > 0. We use the Fourier transform and the weighted energy method with a suitably weight function.
Description
Keywords
Delay reaction-diffusion system, Traveling waves, Global stability, Fourier transform, Weighted energy method
Citation
Su, S., & Zhang, G. B. (2020). Global stability of traveling waves for delay reaction-diffusion systems without quasi-monotonicity. <i>Electronic Journal of Differential Equations, 2020</i>(46), pp. 1-18.
Rights
Attribution 4.0 International