Global and Local Structures of Bifurcation Curves of ODE with Nonlinear Diffusion

Global and Local Structures of Bifurcation Curves of ODE with Nonlinear Diffusion

We consider the nonlinear eigenvalue problem Duu′′+λfu=0, u(t)>0, t∈I≔(0,1), u(0)=u(1)=0, where D(u)=uk, f(u)=u2n-k-1+sin⁡u, and λ>0 is a bifurcation parameter. Here, n∈N and k (0≤k<2n-1) are constants. This equation is related to the mathematical model of animal dispersal and invasion, and...

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Bibliographic Details
Main Author: Tetsutaro Shibata
Format: Article
Language:English
Published: Hindawi Limited 2018-01-01
Series:International Journal of Differential Equations
Online Access:http://dx.doi.org/10.1155/2018/5053415

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