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

Author:

Mei Ming,So Joseph W.-H.,Li Michael Y.,Shen Samuel S.P.

Abstract

This paper considers the nonlinear stability oftravelling wavefronts of a time-delayed diffusive Nicholson blowflies equation. We prove that, under a weighted L2 norm, ifa solution is sufficiently close to a travelling wave front initially, it converges exponentially to the wavefront as t → ∞. The rate ofconvergence is also estimated.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

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