An extension of the Wright's 3/2-theorem for the KPP-Fisher delayed equation
Abstract
We present a short proof of the following natural extension of the famous Wright's 3/2-stability theorem: the conditions τ ≤ 3/2, \ c ≥ 2 imply the presence of the positive traveling fronts (not necessarily monotone) u = φ(x· +ct), \ || =1, in the delayed KPP-Fisher equation ut(t,x) = u(t,x) + u(t,x)(1-u(t-τ,x)), u≥ 0, x ∈ m.
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