Halo-shaped bifurcation curves in ecological systems

oleh: Jerome Goddard II, Ratnasingham Shivaji

Format: Article
Diterbitkan: Texas State University 2014-04-01

Deskripsi

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.