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• W2590117949 abstract "This paper deals with the existence of traveling wave solutions of the Fisher equation with a shifting habitat representing a transition to a devastating environment. By constructing a pair of appropriate upper/lower solutions and using the method of monotone iteration, we prove that for any given speed of the shifting habitat edge, this reaction-diffusion equation admits a monotone traveling wave solution with the speed agreeing to the habitat shifting speed, which accounts for an extinction wave. This predicts not only how fast but also in what manner a biological species will die out in such a shifting habitat." @default.
• W2590117949 created "2017-03-03" @default.
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• W2590117949 date "2017-07-28" @default.
• W2590117949 modified "2023-10-16" @default.
• W2590117949 title "Existence of an extinction wave in the Fisher equation with a shifting habitat" @default.
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• W2590117949 doi "https://doi.org/10.1090/proc/13687" @default.
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