  A general reaction-diffusion equation with spatiotemporal delay and
homogeneous Dirichlet boundary condition is considered. The existence and
stability of positive steady state solutions are proved via studying an
equivalent reaction-diffusion system without nonlocal and delay structure and
applying local and global bifurcation theory. The global structure of the set
of steady states is characterized according to type of nonlinearities and
diffusion coefficient. Our general results are applied to diffusive logistic
growth models and Nicholson's blowflies type models.
