Display Abstract

Title Halo-shaped bifurcation curves in ecological systems

Name Jerome Goddard II
Country USA
Email jgoddard@aum.edu
Co-Author(s) R. Shivaji
Submit Time 2014-02-24 10:06:48
Session
Special Session 14: Reaction diffusion equations and applications
Contents
We examine the structure of positive steady state solutions for a diffusive population model on a one-dimensional patch with logistic growth and negative density dependent emigration on the boundary. In particular, negative density dependent emigration is modeled via a nonlinear boundary condition that depends on both the population density and the diffusion coefficient. We will discuss the structure of positive steady state solutions, including the existence of Halo-shaped bifurcation curves.