Minimal Wave Speed in a Delayed Lattice Dynamical System with Competitive Nonlinearity
Author
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-06-02
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
This paper deals with the minimal wave speed of delayed lattice dynamical systems without monotonicity in the sense of standard partial ordering in R 2 .
By constructing upper and lower solutions appealing to the exponential ordering, we prove the existence of traveling wave solutions if the wave speed is not smaller than some threshold.
The nonexistence of traveling wave solutions is obtained when the wave speed is smaller than the threshold.
Therefore, we confirm the threshold is the minimal wave speed, which completes the known results.
American Psychological Association (APA)
Wu, Fuzhen. 2019. Minimal Wave Speed in a Delayed Lattice Dynamical System with Competitive Nonlinearity. Discrete Dynamics in Nature and Society،Vol. 2019, no. 2019, pp.1-8.
https://search.emarefa.net/detail/BIM-1146245
Modern Language Association (MLA)
Wu, Fuzhen. Minimal Wave Speed in a Delayed Lattice Dynamical System with Competitive Nonlinearity. Discrete Dynamics in Nature and Society No. 2019 (2019), pp.1-8.
https://search.emarefa.net/detail/BIM-1146245
American Medical Association (AMA)
Wu, Fuzhen. Minimal Wave Speed in a Delayed Lattice Dynamical System with Competitive Nonlinearity. Discrete Dynamics in Nature and Society. 2019. Vol. 2019, no. 2019, pp.1-8.
https://search.emarefa.net/detail/BIM-1146245
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1146245