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- W1991861736 abstract "In this paper, we deal with the existence, asymptotic behavior and uniqueness of traveling waves for nonlocal diffusion systems with delay and global response. We first obtain the existence of traveling wave front by using upper-lower solutions method and Schauder's fixed point theorem for $cgt c_*$ and using a limiting argument for $c=c_*$. Secondly, we find a priori asymptotic behavior of (monotone or non-monotone) traveling waves with the help of Ikehara's Theorem by constructing a Laplace transform representation of a solution. Thirdly, we show that the traveling wave front for each given wave speed is unique up to a translation. Last, we apply our results to two models with delayed nonlocal response." @default.
- W1991861736 created "2016-06-24" @default.
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- W1991861736 date "2013-11-01" @default.
- W1991861736 modified "2023-10-03" @default.
- W1991861736 title "EXISTENCE, ASYMPTOTICS AND UNIQUENESS OF TRAVELING WAVES FOR NONLOCAL DIFFUSION SYSTEMS WITH DELAYED NONLOCAL RESPONSE" @default.
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- W1991861736 doi "https://doi.org/10.11650/tjm.17.2013.3794" @default.
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