Asymptotic Behavior of Solutions of Free Boundary Problem with Logistic Reaction Term
Author
Source
Journal of Applied Mathematics
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-5, 5 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-06-02
Country of Publication
Egypt
No. of Pages
5
Main Subjects
Abstract EN
We study a free boundary problem for a reaction diffusion equation modeling the spreading of a biological or chemical species.
In this model, the free boundary represents the spreading front of the species.
We discuss the asymptotic behavior of bounded solutions and obtain a trichotomy result: spreading (the free boundary tends to +∞ and the solution converges to a stationary solution defined on [0+∞)), transition (the free boundary stays in a bounded interval and the solution converges to a stationary solution with positive compact support), and vanishing (the free boundary converges to 0 and the solution tends to 0 within a finite time).
American Psychological Association (APA)
Cai, Jingjing. 2014. Asymptotic Behavior of Solutions of Free Boundary Problem with Logistic Reaction Term. Journal of Applied Mathematics،Vol. 2014, no. 2014, pp.1-5.
https://search.emarefa.net/detail/BIM-493556
Modern Language Association (MLA)
Cai, Jingjing. Asymptotic Behavior of Solutions of Free Boundary Problem with Logistic Reaction Term. Journal of Applied Mathematics No. 2014 (2014), pp.1-5.
https://search.emarefa.net/detail/BIM-493556
American Medical Association (AMA)
Cai, Jingjing. Asymptotic Behavior of Solutions of Free Boundary Problem with Logistic Reaction Term. Journal of Applied Mathematics. 2014. Vol. 2014, no. 2014, pp.1-5.
https://search.emarefa.net/detail/BIM-493556
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-493556