S-shaped bifurcation curves for logistic growth and weak Allee effect growth models with grazing on an interior patch

We study the positive solutions to the steady state reaction diffusion equations with Dirichlet boundary conditions of the form $$displaylines{ -u''= cases{ lambda[u - frac{1}{K}u^2 - c frac{u^2}{1+u^2}], & $x in (L,1-L)$,cr lambda[u - frac{1}{K}u^2], & $x in (0,L)cup(1-L,1)$,...

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Bibliographic Details
Main Authors: Dagny Butler, Ratnasingham Shivaji, Anna Tuck
Format: Article
Language:English
Published: Texas State University 2013-10-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/conf-proc/20/b1/abstr.html