Global structure of steady-states to the full cross-diffusion limit in the Shigesada-Kawasaki-Teramoto model

In a previous paper [10], the author studied asymptotic behavior of coexistence steady-states to Shigesada-Kawasaki-Teramoto model as both cross-diffusion coefficients tend infinity at same rate. As result, he proved that can be characterized by limiting system consists semilinear elliptic equation and an integral constraint. This studies set solutions system. The first main result gives sufficient conditions for existence/nonexistence nonconstant topological approach using Leray-Schauder degree. second exhibits bifurcation diagram one-dimensional analysis weighted time-map nonlocal