Exponential Stability of Traveling Waves for a Reaction Advection Diffusion Equation with Nonlinear-Nonlocal Functional Response
Joint Authors
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-11-06
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
The stability of a reaction advection diffusion equation with nonlinear-nonlocal functional response is concerned.
By using the technical weighted energy method and the comparison principle, the exponential stability of all noncritical traveling waves of the equation can be obtained.
Moreover, we get the rates of convergence.
Our results improve the previous ones.
At last, we apply the stability result to some real models, such as an epidemic model and a population dynamic model.
American Psychological Association (APA)
Yan, Rui& Liu, Guirong. 2017. Exponential Stability of Traveling Waves for a Reaction Advection Diffusion Equation with Nonlinear-Nonlocal Functional Response. Discrete Dynamics in Nature and Society،Vol. 2017, no. 2017, pp.1-13.
https://search.emarefa.net/detail/BIM-1151450
Modern Language Association (MLA)
Yan, Rui& Liu, Guirong. Exponential Stability of Traveling Waves for a Reaction Advection Diffusion Equation with Nonlinear-Nonlocal Functional Response. Discrete Dynamics in Nature and Society No. 2017 (2017), pp.1-13.
https://search.emarefa.net/detail/BIM-1151450
American Medical Association (AMA)
Yan, Rui& Liu, Guirong. Exponential Stability of Traveling Waves for a Reaction Advection Diffusion Equation with Nonlinear-Nonlocal Functional Response. Discrete Dynamics in Nature and Society. 2017. Vol. 2017, no. 2017, pp.1-13.
https://search.emarefa.net/detail/BIM-1151450
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1151450
