题目：Farmer and Hunter-gather 模型的解的传播性质

报告人: Dr. Dongyuan Xiao (萧冬远)

Meiji University, Japan

Abstract:

We investigate the spreading properties of solutions of farmer and hunter-gatherer model which is a three-component reaction-diffusion system. Ecologically, the model describes the geographical spreading of an initially localized population of farmers into a region occupied by hunter-gatherers. This model was proposed by Aoki, Shida and Shigesada in 1996. By numerical simulations and some formal linearization arguments, they concluded that there are four different types of spreading behaviors depending on the parameter values. Despite such intriguing observations, no mathematically rigorous studies have been made to justify their claims. The main difficulty comes from the fact that the comparison principle does not hold for the entire system. In this paper, we give theoretical justification to all of the four types of spreading behaviors observed by Aoki et al. Furthermore, we show that a logarithmic phase drift of the front position occurs as in the scalar KPP equation. 

时间：10月28日（周一）下午14:00-15:00

地点：565net必赢客户端本部教二楼627教室

联系人：吴雅萍

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