A Two-Species Cooperative Lotka-Volterra System of Degenerate Parabolic   Equations

Sun Jiebao<sup>*</sup>; Zhang Dazhi; Wu Boying

doi:10.1155/2011/714248

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A Two-Species Cooperative Lotka-Volterra System of Degenerate Parabolic Equations

作者：Sun Jiebao^*; Zhang Dazhi; Wu Boying

来源：Abstract and Applied Analysis, 2011, 2011: 714248.

DOI：10.1155/2011/714248

摘要

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.