Asymptotic stability of travelling waves for Nicholson's blowflies equation with diffusion

This paper considers the nonlinear stability of travelling wavefronts of a time-delayed diffusive Nicholson blowflies equation. We prove that, under a weighted L-2 norm, if a solution is sufficiently close to a travelling wave front initially, it converges exponentially to the wavefront as t --> infinity. The rate of convergence is also estimated.