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An approximation to the minimum traveling wave for the delayed diffusive Nicholson's blowflies equation
Author(s) -
Gómez Adrián,
Morales Nolbert
Publication year - 2017
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.4401
Subject(s) - traveling wave , mathematics , mathematical analysis , term (time) , work (physics) , order (exchange) , calculus (dental) , physics , medicine , dentistry , finance , quantum mechanics , economics , thermodynamics
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:u t ( t , x ) = Δ u ( t , x ) − δ u ( t , x ) + p u ( t − h , x ) e − u ( t − h , x ) . ( ∗ )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.