Chinese Quarterly Journal of Mathematics ›› 2011, Vol. 26 ›› Issue (1): 16-20.

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Global Existence of Solutions to the Prey-predator System of Three Species with Cross-diffusion 

  

  1. 1. Department of Mathematics, South China University of Technology2. Guangzhou No.6 Secondary School
  • Received:2007-05-31 Online:2011-03-30 Published:2023-05-09
  • About author:CHEN Zhi-hui(1977- ), male, native of Nanchang, Jiangxi, an associate professor of South China University of Technology, Ph.D., engages in elliptic PDEs.
  • Supported by:

    Supported by the Fundamental Research Funds for the Central Universities SCUT(2009ZM0014);

Abstract: The prey-predator system of three species with cross-diffusion pressure is known to possess a local solution with the maximal existence time T ≤∞. By obtaining the bounds of W21-norms of the local solution independent of T, it is established the global existence of the solution.

Key words: prey-predator system, cross-diffusion, self-diffusion

CLC Number: