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

By Ming Mei, Joseph W.-H. So, Michael Y. Li, S. P. Shen. Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 2004

169 citations recorded by the source corpus.

Subfields: Computational Theory and Mathematics, Control and Systems Engineering, Public Health, Environmental and Occupational Health

View Paper: https://www.semanticscholar.org/paper/86352cf05a030565f91333c40b47eb13d9044503

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Theory and Mathematics

In Control and Systems Engineering

In Public Health, Environmental and Occupational Health

Citations in the corpus

Traveling wavefronts for time-delayed reaction-diffusion equation: (II) Nonlocal nonlinearity (2009, methodology): “the Nicholson’s blowflies equation, by using the weighted energy method, Mei, So, Li and Shen [ 21 ] proved that the wavefronts are stable for the wave speed c > 2 � Dm(e p − dm) with a sufficiently small initial perturbation, but the case when c∗ 0 is the critical wave speed.”
Global attractivity of the diffusive Nicholson blowflies equation with Neumann boundary condition: A non-monotone case☆ (2008, unknown): “[18], So and Zou [24].”
Map dynamics versus dynamics of associated delay reaction–diffusion equations with a Neumann condition (2010, background): “When an unbounded domain is considered, travelling wavefront solutions are an important topic and have been discussed by many researchers (e.g. So & Zou 2001; So et al. 2001; Wu & Zou 2001; Mei et al. 2004).”
Nonmonotone travelling waves in a single species reaction–diffusion equation with delay (2005, background): “Moreover, as it was proved in [21], every solution of (1.”
On travelling wavefronts of Nicholson's blowflies equation with diffusion (2010, methodology): “Regarding the stability of travelling waves of the model (1.1), by using the technical weighted energy method, Mei et al . [ 8 ] proved that the wavefront is asymptotically stable in time when the wave speed is as large as c> 2 √ p − d and the initial”
Stability of non-monotone critical traveling waves for reaction-diffusion equations with time-delay (2015, methodology): “• Nicholson’s blowflies model [8,9,16,17,20,28]: The so-called Nicholson’s birth rate function (also called the Ricker’s type function) is b(v) = pve−av, a > 0, p > 0, (1.”
Stability of strong travelling waves for a non-local time-delayed reaction–diffusion equation (2008, methodology): “As in [ 15 ], the approach adopted in this paper is still the weighted energy method.”