Existence of Solutions for a Quasilinear Reaction Diffusion System
Author
Source
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-06-24
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
The degenerate reaction diffusion system has been applied to a variety of physical and engineering problems.
This paper is extended the existence of solutions from the quasimonotone reaction functions (e.g., inhibitor-inhibitor mechanism) to the mixed quasimonotone reaction functions (e.g., activator-inhibitor mechanism).
By Schauder fixed point theorem, it is shown that the system admits at least one positive solution if there exist a coupled of upper and lower solutions.
This result is applied to a Lotka-Volterra predator-prey model.
American Psychological Association (APA)
Tian, Canrong. 2012. Existence of Solutions for a Quasilinear Reaction Diffusion System. Abstract and Applied Analysis،Vol. 2012, no. 2012, pp.1-14.
https://search.emarefa.net/detail/BIM-466453
Modern Language Association (MLA)
Tian, Canrong. Existence of Solutions for a Quasilinear Reaction Diffusion System. Abstract and Applied Analysis No. 2012 (2012), pp.1-14.
https://search.emarefa.net/detail/BIM-466453
American Medical Association (AMA)
Tian, Canrong. Existence of Solutions for a Quasilinear Reaction Diffusion System. Abstract and Applied Analysis. 2012. Vol. 2012, no. 2012, pp.1-14.
https://search.emarefa.net/detail/BIM-466453
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-466453