کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4610040 1338541 2015 58 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Limiting structure of steady-states to the Lotka–Volterra competition model with large diffusion and advection
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Limiting structure of steady-states to the Lotka–Volterra competition model with large diffusion and advection
چکیده انگلیسی

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.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Differential Equations - Volume 258, Issue 5, 5 March 2015, Pages 1801–1858
نویسندگان
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