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

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  • Jiebao Sun
  • Dazhi Zhang
  • Boying Wu

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.

Suggested Citation

  • Jiebao Sun & Dazhi Zhang & Boying Wu, 2011. "A Two-Species Cooperative Lotka-Volterra System of Degenerate Parabolic Equations," Abstract and Applied Analysis, Hindawi, vol. 2011, pages 1-18, April.
    • Handle: RePEc:hin:jnlaaa:714248
    DOI: 10.1155/2011/714248
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