An exact bifurcation diagram for a reaction–diffusion equation arising in population dynamics

Abstract We analyze the positive solutions to {−Δv=λv(1−v);Ω0,∂v∂η+γλv=0;∂Ω0, $$ \textstyle\begin{cases} - \Delta v = \lambda v(1-v); & \Omega_{0}, \\ \frac{\partial v}{\partial\eta} + \gamma\sqrt{\lambda} v =0 ; & \partial\Omega_{0}, \end{cases} $$ where Ω0=(0,1) $\Omega_{0}=(0,1)$ or is a...

Full description

Bibliographic Details
Main Authors: Jerome Goddard II, Quinn A. Morris, Stephen B. Robinson, Ratnasingham Shivaji
Format: Article
Language:English
Published: SpringerOpen 2018-11-01
Series:Boundary Value Problems
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13661-018-1090-z