An approximation to the minimum traveling wave for the delayed diffusive Nicholson's blowflies equation

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.