BIRS Workshop Lecture Videos
Mathematical analysis of a reaction-diffusion model for Neolithic transition in Europe Mori, Ryunosuke
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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