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Mathematical analysis of a reaction-diffusion model for Neolithic transition in Europe Mori, Ryunosuke
Description
In 1996, Aoki, Shida and Shigesada proposed a three-component reaction-diffusion model describing the spread of the early farming during the New Stone Age. By numerical simulations and some formal linearization arguments, they concluded that there are four different types of spreading behaviors depending on the parameter values. In this talk, we give theoretical justification to all of the four types of spreading behaviors observed by Aoki et al. We also investigate the case where the motility of the hunter-gatherers is not equal to that of the farmers, which is not discussed in the paper of Aoki et al.
Item Metadata
Title |
Mathematical analysis of a reaction-diffusion model for Neolithic transition in Europe
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Creator | |
Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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Date Issued |
2020-08-05T07:00
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Description |
In 1996, Aoki, Shida and Shigesada proposed a three-component reaction-diffusion model describing the spread of the early farming during the New Stone Age. By numerical simulations and some formal linearization arguments, they concluded that there are four different types of spreading behaviors depending on the parameter values.
In this talk, we give theoretical justification to all of the four types of spreading behaviors observed by Aoki et al. We also investigate the case where the motility of the hunter-gatherers is not equal to that of the farmers, which is not discussed in the paper of Aoki et al.
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Extent |
24.0 minutes
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Subject | |
Type | |
File Format |
video/mp4
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Language |
eng
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Notes |
Author affiliation: Tokyo Institute of Technology
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Series | |
Date Available |
2021-02-02
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Provider |
Vancouver : University of British Columbia Library
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Rights |
Attribution-NonCommercial-NoDerivatives 4.0 International
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DOI |
10.14288/1.0395802
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URI | |
Affiliation | |
Peer Review Status |
Unreviewed
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Scholarly Level |
Postdoctoral
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Rights URI | |
Aggregated Source Repository |
DSpace
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Item Media
Item Citations and Data
Rights
Attribution-NonCommercial-NoDerivatives 4.0 International