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Global Stability of Traveling Waves for a More General Nonlocal Reaction-Diffusion Equation
Joint Authors
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-06-27
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
The purpose of this paper is to investigate the global stability of traveling front solutions with noncritical and critical speeds for a more general nonlocal reaction-diffusion equation with or without delay.
Our analysis relies on the technical weighted energy method and Fourier transform.
Moreover, we can get the rates of convergence and the effect of time-delay on the decay rates of the solutions.
Furthermore, according to the stability results, the uniqueness of the traveling front solutions can be proved.
Our results generalize and improve the existing results.
American Psychological Association (APA)
Yan, Rui& Liu, Guirong. 2018. Global Stability of Traveling Waves for a More General Nonlocal Reaction-Diffusion Equation. Discrete Dynamics in Nature and Society،Vol. 2018, no. 2018, pp.1-13.
https://search.emarefa.net/detail/BIM-1152746
Modern Language Association (MLA)
Yan, Rui& Liu, Guirong. Global Stability of Traveling Waves for a More General Nonlocal Reaction-Diffusion Equation. Discrete Dynamics in Nature and Society No. 2018 (2018), pp.1-13.
https://search.emarefa.net/detail/BIM-1152746
American Medical Association (AMA)
Yan, Rui& Liu, Guirong. Global Stability of Traveling Waves for a More General Nonlocal Reaction-Diffusion Equation. Discrete Dynamics in Nature and Society. 2018. Vol. 2018, no. 2018, pp.1-13.
https://search.emarefa.net/detail/BIM-1152746
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1152746