Electronic Journal of Differential Equations,
Vol. 2001(2001), No. 52, pp. 1-18.

Title: A priori bounds and global existence for a strongly
       coupled quasilinear parabolic system modeling chemotaxis
   
Author: Hendrik J. Kuiper (Arizona State Univ., Tempe, AZ, USA)

Abstract:  
 A priori bounds are found for solutions to a strongly coupled
 reaction-diffusion system that models competition of species in the
 presence of chemotaxis. These bounds are used to prove the existence
 of global solutions.
  
Submitted May 14, 2001. Published July 19, 2001.
Math Subject Classifications: 35K57, 35B45.
Key Words: Strongly coupled; reaction-diffusion; chemotaxis.