This paper is concerned with a strongly-coupled elliptic system representing a competitive interaction between two species. We give a sufficient condition for the existence of positive solutions. An example is also given to show that there is a coexistence of a steady state if the cross-diffusions or the intraspecific competitions are weak. (C) 2004 Elsevier Ltd. All rights reserved.
Computers and Mathematics With Applications, 2004, Vol 48, Issue 3-4, p. 617-628