DUCROT, Arnaud; NADIN, Grégoire

doi:10.1016/j.jde.2014.01.033

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DUCROT, Arnaud
Institut de Mathématiques de Bordeaux [IMB]

NADIN, Grégoire
Laboratoire Jacques-Louis Lions [LJLL]

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Journal of Differential Equations. 2014, vol. 256, n° 9, p. 3115-3140

Elsevier

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In this work we study the behaviour of travelling wave solutions for the diffusive Hutchinson equation with time delay. Using a phase plane analysis we prove the existence of travelling wave solution for each wave speed c >= 2. We show that for each given and admissible wave speed, such travelling wave solutions converge to a unique maximal wavetrain. As a consequence the existence of a nontrivial maximal wavetrain is equivalent to the existence of travelling wave solution non-converging to the stationary state u = 1.< Leer menos

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Asymptotic behaviour of travelling waves for the delayed Fisher-KPP equation

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