Mei, Ming; So, Joseph W.-H.; Li, Michael Y.; Shen, Samuel S. P. Asymptotic stability of travelling waves for Nicholson’s blowflies equation with diffusion. (English) Zbl 1059.34019 Proc. R. Soc. Edinb., Sect. A, Math. 134, No. 3, 579-594 (2004). This paper concerns the asymptotic stability of travelling waves for the time-delayed Nicholson’s blowflies equation with diffusion. It is proved that if a solution is initially close enough to a travelling wave front, then it converges exponentially to the wave front as \(t\to+\infty\) and the convergence rate is estimated. Reviewer: Sebastian Anita (Iaşi) Cited in 2 ReviewsCited in 109 Documents MSC: 34B40 Boundary value problems on infinite intervals for ordinary differential equations 92D25 Population dynamics (general) 35B35 Stability in context of PDEs 35R10 Partial functional-differential equations Keywords:asymptotic stability; travelling waves; Nicholson’s blowflies equation with diffusion; time-delayed equation PDFBibTeX XMLCite \textit{M. Mei} et al., Proc. R. Soc. Edinb., Sect. A, Math. 134, No. 3, 579--594 (2004; Zbl 1059.34019) Full Text: DOI