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An approximation to the minimum traveling wave for the delayed diffusive Nicholson's blowflies equation
Authors:Adrián Gómez  Nolbert Morales
Affiliation:1. Grupo de Sistemas Dinámicos y Aplicaciones(GISDA), Departamento de Matemática, Universidad del Bío‐Bío, Concepción, Chile;2. Departamento de Matemática, Universidad del Bío‐Bío, Concepción, Chile
Abstract:
In this work, we study the approximation of traveling wave solutions propagated at minumum speeds c 0(h ) of the delayed Nicholson's blowflies equation: urn:x-wiley:mma:media:mma4401:mma4401-math-0001 In order to do that, we construct a subsolution and a super solution to (?). Also, through that construction, an alternative proof of the existence of traveling waves moving at minimum speed is given. Our basic hypothesis is that p /δ ∈(1,e ] and then, the monostability of the reaction term. Copyright © 2017 John Wiley & Sons, Ltd.
Keywords:delay  reaction‐diffusion  Nicholson's equation  traveling waves
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