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Asymptotic stability of travelling waves for Nicholson’s blowflies equation with diffusion. (English) Zbl 1059.34019

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.

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
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