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NCTS Seminar on Mathematical Biology
 
15:00 - 16:30, April 22, 2022 (Friday)
Cisco Webex, Online seminar
(線上演講 Cisco Webex)
The Nonlocal Selection of Spreading Speed in Shifting Environments
King-Yeung Lam (Ohio State University)

Abstract

Since the work of [Potapov & Lewis, 2004] and [Berestycki et al. 2009], there has been a lot of interest in the population dynamics driven by climate change. Of particular interest is the persistence and invasion profile of species as their suitable habitat are shifting poleward. In this talk, I will discuss some results concerning determination of spreading speed in Fisher-KPP equation with shifting heterogeneity. Surprisingly, in some cases the spreading speed is no longer determined by the formula , i.e. it exceeds the level predicted by local conditions. We will explain the nonlocal mechanism behind the speed enhancement. We will also survey some related works motivated by the conjecture of Shigesada et al concerning the co-invasion of competing tree species into an open space.
 
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