Réunion d'hiver SMC 2024

Vancouver/Richmond, 29 novembre - 2 decembre 2024

       

Structure-Preserving Discretizations and their Applications
Org: Jingwei Hu (University of Washington), Steven Ruuth (Simon Fraser University) et Andy Wan (UC Merced)

VRUSHALI BOKIL, Oregon State

JOHN BOWMAN, University of Alberta

CHUNYI GAI, University of Northern British Columbia
Pattern Formation and Spike Dynamics in the Presence of Noise  [PDF]

Noise plays a crucial role in the formation and evolution of spatial patterns in various reaction-diffusion systems in mathematical biology and ecology. In this talk, I give two examples where noise significantly influences spatial patterning. The first example describes how patterned states can provide a refuge and prevent extinction under stressed conditions. It also illustrates the importance of not only the absolute level of climate change, but also the speed with which it occurs. The second example studies the effect of noise on dynamics of a single spike pattern for the classical Gierer-Meinhardt model on a finite interval.

NILIMA NIGAM, Simon Fraser

YUZHE QIN, UBC

SETH TAYLOR, McGill

MAYYA TOKMAN, UC Merced

SIQI WEI, Saskatchewan

TAREQ ZAMEN, Memorial


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