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- W1978725093 abstract "This paper deals with the existence of travelling wave fronts in reaction–diffusion systems with spatio-temporal delays. Our approach is to use monotone iterations and a nonstandard ordering for the set of profiles of the corresponding wave system. New iterative techniques are established for a class of integral operators when the reaction term satisfies different monotonicity conditions. Following this, the existence of travelling wave fronts for reaction–diffusion systems with spatio-temporal delays is established. Finally, we apply the main results to a single-species diffusive model with spatio-temporal delay and obtain some existence criteria of travelling wave fronts by choosing different kernels." @default.
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- W1978725093 date "2006-03-01" @default.
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- W1978725093 title "Travelling wave fronts in reaction–diffusion systems with spatio-temporal delays" @default.
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- W1978725093 doi "https://doi.org/10.1016/j.jde.2005.08.010" @default.
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