SHORT NOTE ON THE POSITION OF BIFURCATION POINTS FOR THE LIMITING SYSTEM ARISING FROM THE TWO COMPETING SPECIES MODEL

In this paper, we treat the competition-diffusion system with non -linear diffusion term, which was proposed by Sigesada, Kawasaki and Teramoto in 1979 to model the segregation of interacting species, and discuss the bifurca-tion structure of nonnegative solution for the limiting system arising from the competition-diffusion system as the interspecific competition rate tends to +8. To do this, we employ the comparison principle and the property of the Bessel function, and study the position of bifurcation points, at which a nonconstant solution bifurcates from the constant solution, for the limiting system.