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• W2020396009 abstract "This paper is concerned with the Neumann problem of a stationary Lotka–Volterra competition model with diffusion and advection. First we obtain some sufficient conditions of the existence of nonconstant solutions by the Leray–Schauder degree theory. Next we derive a limiting system as diffusion and advection of one of the species tend to infinity. The limiting system can be reduced to a semilinear elliptic equation with nonlocal constraint. In the simplified 1D case, the global bifurcation structure of nonconstant solutions of the limiting system can be classified depending on the coefficients. For example, this structure involves a global bifurcation curve which connects two different singularly perturbed states (boundary layer solutions and internal layer solutions). Our proof employs a levelset analysis for the associate integral mapping." @default.
• W2020396009 created "2016-06-24" @default.
• W2020396009 creator A5044358238 @default.
• W2020396009 creator A5078363349 @default.
• W2020396009 date "2015-03-01" @default.
• W2020396009 modified "2023-09-28" @default.
• W2020396009 title "Limiting structure of steady-states to the Lotka–Volterra competition model with large diffusion and advection" @default.
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• W2020396009 doi "https://doi.org/10.1016/j.jde.2014.11.016" @default.
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