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This paper investigates the existence of positive solutions for an elliptic equation related to population dynamics, incorporating both local and nonlocal variable diffusion coefficients. The authors demonstrate that an unbounded continuum of positive solutions bifurcates from the trivial solution, with the global structure of this continuum influenced by the nonlocal diffusion at infinity and the spatial arrangement of species habitats. The findings are supported by bifurcation theory and various mathemati

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te1yoqe11g

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EN