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- W2029994456 abstract "We establish the existence of a continuous family of fast positive wavefronts u(t,x)=ϕ(x+ct), ϕ(−∞)=0, ϕ(+∞)=κ, for the non-local delayed reaction–diffusion equation ut(t,x)=uxx(t,x)−u(t,x)+∫RK(x−w)g(u(t−h,w))dw. Here 0 and κ>0 are fixed points of g∈C2(R+,R+) and the non-negative K is such that ∫RK(w)eλwdw is finite for every real λ. We also prove that the fast wavefronts are non-monotone if g′(κ)heh+1<−1." @default.
- W2029994456 created "2016-06-24" @default.
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- W2029994456 date "2010-03-01" @default.
- W2029994456 modified "2023-09-27" @default.
- W2029994456 title "Existence of fast positive wavefronts for a non-local delayed reaction–diffusion equation" @default.
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- W2029994456 doi "https://doi.org/10.1016/j.na.2009.11.021" @default.
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