Summary: For the Dirichlet boundary value problem of the diffusive Nicholson’s blowflies equation, it was shown by J. W.-H. So
and Y. Yang
[J. Differ. Equations 150, No. 2, 317-348 (1998; Zbl 0923.35195
)] that in a certain range of the parameter space, there is a unique positive steady state solution. In this paper, we propose a scheme to compute this steady state numerically. In addition, we describe an iterative procedure to locate the critical values of the delay where a Hopf bifurcation of time periodic solutions takes place near the steady state. Some numerical simulations of both schemes are given.