In this paper, we consider a reaction-diffusion system which describes the dynamics of population density for a two competing species community, and discuss the structure on the radially symmetric entire positive stationary solution for the system by assuming the habitat of the community to be the whole space  To do this, we shall regard the space dimension  of the habitat as a real-valued bifurcation parameter with  and investigate the structure of the entire positive solution with respect to  by employing the comparison principle and the implicit function theorem.

competition-diffusion system, radially symmetric positive solution, structure of solution branch.