Stability and bifurcations in a nonlocal delayed reaction-diffusion population model

A nonlocal delayed reaction diffusion equation with Dirichlet boundary condition is considered in this paper. It is shown that a positive spatially nonhomogeneous equilibrium bifurcates from the trivial equilibrium. The stability/instability of the bifurcated positive equilibrium and associated Hopf bifurcation are investigated, providing us with a complete picture of the dynamics. (C) 2015 Elsevier Inc. All rights reserved.