A Lotka-Volterra Competition Model with Cross-Diffusion
Joint Authors
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-5, 5 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-03-12
Country of Publication
Egypt
No. of Pages
5
Main Subjects
Abstract EN
A Lotka-Volterra competition model with cross-diffusions under homogeneous Dirichlet boundary condition is considered, where cross-diffusions are included in such a way that the two species run away from each other because of the competition between them.
Using the method of upper and lower solutions, sufficient conditions for the existence of positive solutions are provided when the cross-diffusions are sufficiently small.
Furthermore, the investigation of nonexistence of positive solutions is also presented.
American Psychological Association (APA)
Chen, Wenyan& Chen, Ya. 2013. A Lotka-Volterra Competition Model with Cross-Diffusion. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-5.
https://search.emarefa.net/detail/BIM-486037
Modern Language Association (MLA)
Chen, Wenyan& Chen, Ya. A Lotka-Volterra Competition Model with Cross-Diffusion. Abstract and Applied Analysis No. 2013 (2013), pp.1-5.
https://search.emarefa.net/detail/BIM-486037
American Medical Association (AMA)
Chen, Wenyan& Chen, Ya. A Lotka-Volterra Competition Model with Cross-Diffusion. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-5.
https://search.emarefa.net/detail/BIM-486037
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-486037