  Transport models of growth hormones can be used to reproduce the hormone
accumulations that occur in plant organs. Mostly, these accumulation patterns
are calculated using time step methods, even though only the resulting steady
state patterns of the model are of interest. We examine the steady state
solutions of the hormone transport model of Smith et al (2006) for a
one-dimensional row of plant cells. We search for the steady state solutions as
a function of three of the model parameters by using numerical continuation
methods and bifurcation analysis. These methods are more adequate for solving
steady state problems than time step methods. We discuss a trivial solution
where the concentrations of hormones are equal in all cells and examine its
stability region. We identify two generic bifurcation scenarios through which
the trivial solution loses its stability. The trivial solution becomes either a
steady state pattern with regular spaced peaks or a pattern where the
concentration is periodic in time.
