Non-local effects on travelling waves arising in a moving-boundary reaction–diffusion model

We examine travelling wave solutions of the partial differential equation u t = u xx + u (1 − u ∗ ϕ ) on a moving domain x ⩽ L ( t ), where u ∗ ϕ is the spatial convolution of the population density with a kernel ϕ ( y ). We provide asymptotic approximations of the resulting travelling waves in vari...

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Veröffentlicht in:	Journal of physics. A, Mathematical and theoretical Mathematical and theoretical, 2022-10, Vol.55 (40), p.405701
Hauptverfasser:	Fadai, Nabil T, Billingham, John
Format:	Artikel
Sprache:	eng
Schlagworte:	Fisher’s equation moving boundary problem non-local differential equation Stefan condition
Online-Zugang:	Volltext
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