Regular traveling waves for a reaction-diffusion equation with two nonlocal delays
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Date
2022-12-12
Authors
Zhao, Haiqin
Wu, Shi Liang
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
This article concerns regular traveling waves of a reaction-diffusion equation with two nonlocal delays arising from the study of a single species with immature and mature stages and different ages at reproduction. Establishing a necessary condition on the regular traveling waves, we prove the uniqueness of noncritical regular traveling waves, regardless of being monotone or not. Under a quasi-monotone assumption and among other things, we further show that all noncritical monotone traveling waves are exponentially stable, by establishing two comparison theorems and constructing an auxiliary lower equation.
Description
Keywords
Regular traveling fronts, Reaction-diffusion equation, Nonlocal delay, Uniqueness, Stability
Citation
Zhao, H., & Wu, S. L. (2022). Regular traveling waves for a reaction-diffusion equation with two nonlocal delays. <i>Electronic Journal of Differential Equations, 2022</i>(82), pp. 1-16.
Rights
Attribution 4.0 International