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Abstract and Applied Analysis
Volume 2011 (2011), Article ID 714248, 18 pages
doi:10.1155/2011/714248
A Two-Species Cooperative Lotka-Volterra System of Degenerate Parabolic Equations
Department of Mathematics, Harbin Institute of Technology, Harbin 150001, China
Received 13 December 2010; Revised 13 February 2011; Accepted 24 February 2011
Academic Editor: Elena Braverman
Copyright © 2011 Jiebao Sun et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
We consider a cooperating two-species Lotka-Volterra model of degenerate parabolic equations. We are interested in the coexistence of the species in a bounded domain. We establish the existence of global generalized solutions of the initial boundary value problem by means of parabolic regularization and also consider the existence of the nontrivial time-periodic solution for this system.