Asymptotic stability of traveling wave fronts in nonlocal reaction-diffusion equations with delay

20Citations
Citations of this article
6Readers
Mendeley users who have this article in their library.

Abstract

This paper is concerned with the asymptotic stability of traveling wave fronts of a class of nonlocal reaction-diffusion equations with delay. Under monostable assumption, we prove that the traveling wave front is exponentially stable by means of the (technical) weighted energy method, when the initial perturbation around the wave is suitable small in a weighted norm. The exponential convergent rate is also obtained. Finally, we apply our results to some population models and obtain some new results, which recover, complement and/or improve a number of existing ones. © 2009 Elsevier Inc. All rights reserved.

Cite

CITATION STYLE

APA

Wu, S. L., Li, W. T., & Liu, S. Y. (2009). Asymptotic stability of traveling wave fronts in nonlocal reaction-diffusion equations with delay. Journal of Mathematical Analysis and Applications, 360(2), 439–458. https://doi.org/10.1016/j.jmaa.2009.06.061

Register to see more suggestions

Mendeley helps you to discover research relevant for your work.

Already have an account?

Save time finding and organizing research with Mendeley

Sign up for free