Jerome Goddard II, Ratnasingham Shivaji
Abstract:
We examine the structure of positive steady state solutions for a diffusive
population model with logistic growth and negative density dependent
emigration on the boundary. In particular, this class of nonlinear
boundary conditions depends on both the population density and the diffusion
coefficient. Results in the one-dimensional case are established via quadrature
methods. Additionally, we discuss the existence of a Halo-shaped
bifurcation curve.
Submitted December 30, 2013. Published April 2, 2014.
Math Subject Classifications: 34B18, 34B08
Key Words: Nonlinear boundary conditions; logistic growth; positive solutions.
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Jerome Goddard II Department of Mathematics, Auburn University Montgomery Montgomery, AL 36124, USA email: jgoddard@aum.edu | |
Ratnasingham Shivaji Department of Mathematics and Statistics University of North Carolina Greensboro Greensboro, NC 27402, USA email: r_shivaj@uncg.edu |
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