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], & $x in (0,L)cup(1-L,1)$,...
Main Authors: | Dagny Butler, Ratnasingham Shivaji, Anna Tuck |
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Format: | Article |
Language: | English |
Published: |
Texas State University
2013-10-01
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Series: | Electronic Journal of Differential Equations |
Subjects: | |
Online Access: | http://ejde.math.txstate.edu/conf-proc/20/b1/abstr.html |
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