کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4618100 1339398 2011 10 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
S-shaped bifurcation curves in ecosystems
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
S-shaped bifurcation curves in ecosystems
چکیده انگلیسی

We consider the existence of multiple positive solutions to the steady state reaction diffusion equation with Dirichlet boundary conditions of the form:{−Δu=λ[u−u2K−cu21+u2],x∈Ω,u=0,x∈∂Ω. Here Δu=div(∇u)Δu=div(∇u) is the Laplacian of u  , 1λ is the diffusion coefficient, K and c   are positive constants and Ω⊂RNΩ⊂RN is a smooth bounded region with ∂Ω   in C2C2. This model describes the steady states of a logistic growth model with grazing in a spatially homogeneous ecosystem. It also describes the dynamics of the fish population with natural predation. In this paper we discuss the existence of multiple positive solutions leading to the occurrence of an S-shaped bifurcation curve. We prove our results by the method of sub-supersolutions.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 381, Issue 2, 15 September 2011, Pages 732–741
نویسندگان
, , ,