Uniqueness of limiting solution to a strongly competing system
Date
2017-04-05
Authors
Arakelyan, Avetik
Bozorgnia, Farid
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
We prove a uniqueness for the positive solution to a strongly competing system of Lotka-Volterra type problem in the limiting configuration, when the competition rate tends to infinity. We give an alternate proof of uniqueness based on properties of limiting solutions.
Description
Keywords
Spatial segregation, Free boundary problems, Maximum principle
Citation
Arakelyan, A., & Bozorgnia, F. (2017). Uniqueness of limiting solution to a strongly competing system. Electronic Journal of Differential Equations, 2017(96), pp. 1-8.
Rights
Attribution 4.0 International