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

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

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 r...

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Veröffentlicht in:Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2004-06, Vol.134 (3), p.579-594
Hauptverfasser: Mei, Ming, So, Joseph W.-H., Li, Michael Y., Shen, Samuel S.P.
Format: Artikel
Sprache:eng
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Zusammenfassung: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.
ISSN:0308-2105
1473-7124
DOI:10.1017/S0308210500003358