Article Contents
Article Contents

# Structure on the set of radially symmetric positive stationary solutions for a competition-diffusion system

• 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 set of radially symmetric positive stationary solutions for the system by assuming the habitat of the community to be a ball. To do this, we shall treat the dimension of the habitat and the diffusion rates of the system as bifurcation parameters, and employ the comparison principle and the implicit function theorem.
Mathematics Subject Classification: Primary: 35B32; Secondary: 35B60.

 Citation:

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