Condensed Matter and Statistical Physics Journal Club
Talk Details
Title | Pattern Formation in Reaction-Diffusion Systems: Nonlocality in Interactions and the Allee Phenomenon |
Speaker | Prof. Nitant Kenkre University of New Mexico |
Date | Wed, 08 Dec 2010 |
Time | 14:30 |
Venue | A 304 |
Abstract
The emergence of patterns is a fascinating phenomenon wherever it appears. Reaction-diffusion systems are ubiquitous in biology or ecology. The talk will discuss reaction-diffusion systems such as those governed by the Fisher equation with long-range influence functions describing the competition between the members of a population. Interesting patterns will be shown to result. The Allee phenomenon, found in diverse ecological contexts, will be discussed and a brief mention will be made of the consequences of its incorporation on the emergence of the patterns.