Numerical steady state and Hopf bifurcation analysis on the diffusive Nicholson's blowflies equation

For the Dirichlet boundary value problem of the diffusive Nicholson's blowf lies equation, it was shown in Ref, [17] that in a certain range of the par ameter space, there is a unique positive steady state solution. In this pap er, we propose a scheme to compute this steady state numerically. In additi on, 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. (C ) 1999 Elsevier Science Inc. All rights reserved.