This paper considers semi-analytical solutions for a class of generalised logis-
tic partial dierential equations with both point and distributed delays. Both one and
two-dimensional geometries are considered. The Galerkin method is used to approximate
the governing equations by a system of ordinary dierential delay equations. This method
involves assuming a spatial structure for the solution and averaging to obtain the ordinary
dierential delay equation models. Semi-analytical results for the stability of the system
are derived with the critical parameter value, at which a Hopf bifurcation occurs, found.
The results show that diusion acts to stabilise the system, compared to equivalent non-
diusive systems and that large delays, which represent feedback from the distant past, act
to destabilize the system. Comparisons between semi-analytical and numerical solutions
show excellent agreement for steady state and transient solutions, and for the parameter
values at which the Hopf bifurcations occur.