Existence of Positive Solutions of Lotka-Volterra Competition Model with Nonlinear Boundary Conditions
Joint Authors
Zhang, Yang
Wang, Mingxin
Wang, Yuwen
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-6, 6 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-05-26
Country of Publication
Egypt
No. of Pages
6
Main Subjects
Abstract EN
A Lotka-Volterra competition model with nonlinear boundary conditions is considered.
First, by using upper and lower solutions method for nonlinear boundary problems, we investigate the existence of positive solutions in weak competition case.
Next, we prove that - d 1 Δ u = u ( a 1 - b 1 u - c 1 v ) , x ∈ Ω ; - d 2 Δ v = v ( a 2 - b 2 u - c 2 v ) , x ∈ Ω ; ∂ u / ∂ ν + f ( u ) = 0 , x ∈ ∂ Ω ; ∂ v / ∂ ν + g ( v ) = 0 , x ∈ ∂ Ω , has no positive solution when one of the diffusion coefficients is sufficiently large.
American Psychological Association (APA)
Zhang, Yang& Wang, Mingxin& Wang, Yuwen. 2014. Existence of Positive Solutions of Lotka-Volterra Competition Model with Nonlinear Boundary Conditions. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-6.
https://search.emarefa.net/detail/BIM-1013276
Modern Language Association (MLA)
Zhang, Yang…[et al.]. Existence of Positive Solutions of Lotka-Volterra Competition Model with Nonlinear Boundary Conditions. Abstract and Applied Analysis No. 2014 (2014), pp.1-6.
https://search.emarefa.net/detail/BIM-1013276
American Medical Association (AMA)
Zhang, Yang& Wang, Mingxin& Wang, Yuwen. Existence of Positive Solutions of Lotka-Volterra Competition Model with Nonlinear Boundary Conditions. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-6.
https://search.emarefa.net/detail/BIM-1013276
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1013276