Notes on nonlocal dispersal equations in a periodic habitat

Jian Fang; Xiao-Qiang Zhao

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arXiv · 1711.00978

Notes on nonlocal dispersal equations in a periodic habitat

Jian Fang·Xiao-Qiang Zhao

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Abstract

In this paper, we prove that the solution maps of a large class of nonlocal dispersal equations are $\alpha$-contractions, where $\alpha$ is the Kuratowski measure of noncompactness. Then we give some remarks on the spreading speeds and traveling waves for such evolution equations in a periodic habitat.

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Jian Fang, Xiao-Qiang Zhao. 2017-11-03. Notes on nonlocal dispersal equations in a periodic habitat. https://arxiv.org/abs/1711.00978

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