Dirichlet problem for the diffusive Nicholson's blowflies equation

The object of this paper is to consider the asymptotic behavior of solution s of the diffusive Nicholson's blowflies equation under Dirichlet boundary condition. A new approach is developed to study the global attractivity of the positive steady state for a reaction diffusion equation with time delay , when monotone or quasi-monotone conditions fail to apply. This approach s hould be applicable to other Dirichlet problems as well, even though our an alysis is tailored to the diffusive Nicholson's blowflies equation. (C) 199 8 Academic Press.