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Bifurcation structures of positive stationary solutions for a Lotka-Volterra competition model with diffusion II: Global structure

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  • In this paper, we consider a Lotka-Volterra competition model with diffusion, and show that the global bifurcation structure of positive stationary solutions for the model is similar to that for a certain scalar reaction-diffusion equation. To do this, the comparison principle, the bifurcation theory, and the numerical verification are employed.
    Mathematics Subject Classification: 35B32.

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