Applied Maths Seminar: Lopez -- Asymptotic behaviour of logistic equations

We will show that for a wide class of autonomous and non-autonomous reaction-diffusion
problems there exist two special "equilibria" bounding their asymptotic dynamics.  As an
application, we will consider the case of logistic equations.  We will obtain conditions
on the coefficients ensuring the existence of a unique positive equilibrium.  

http://www.maths.usyd.edu.au/u/AppliedSeminar/abstracts/2008/lopez.html