A degenerate parabolic system with self-diffusion for a mutualistic model in ecology
SCIE
SCOPUS
- Title
- A degenerate parabolic system with self-diffusion for a mutualistic model in ecology
- Authors
- Kim, KI; Lin, ZG
- Date Issued
- 2006-09
- Publisher
- PERGAMON-ELSEVIER SCIENCE LTD
- Abstract
- This paper deals with the behavior of positive solution for a degenerate parabolic system with homo-geneous Dirichlet boundary conditions describing a cooperating two-species Lotka-Volterra model. The local existence and uniqueness of a classical solution are given. Some comparison principles and positivity lemmas are also presented. Further, we show that the solution is global if the intra-specific competitions of the species are strong. whereas the solution may blow up if the intra-specific competitions are weak. (c) 2005 Elsevier Ltd. All rights reserved.
- Keywords
- degenerate diffusion system; blowup; global solution; competition; GLOBAL-SOLUTIONS; DIVERGENCE FORM; EQUATIONS; BLOWUP
- URI
- https://oasis.postech.ac.kr/handle/2014.oak/29590
- DOI
- 10.1016/j.nonrwa.2005.03.020
- ISSN
- 1468-1218
- Article Type
- Article
- Citation
- NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, vol. 7, no. 4, page. 597 - 609, 2006-09
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