Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8256539 | Physica D: Nonlinear Phenomena | 2013 | 14 Pages |
Abstract
⺠We introduce two stochastic individual-based models of biological aggregation. ⺠The individual particle stochasticity depends on the perceived average population density. ⺠Both models exhibit formation of aggregates resulting from random fluctuations in the population density. ⺠We derive the corresponding mean field description and perform its mathematical analysis. ⺠Extensive numerical results are presented.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Martin Burger, Jan Haškovec, Marie-Therese Wolfram,