8 citations · 9 across the 3 of their papers we have counts for
3 papers
cond-mat.stat-mech2005★ 8 cited
The road to catastrophe: stability and collapse in 2D driven particle systems
M. R. D'Orsogna, Y. L. Chuang, A. L. Bertozzi +1
Understanding collective properties of driven particle systems is significant for naturally occurring aggregates and because the knowledge gained can be used as building blocks for…
q-bio.PE2005
A nonlocal continuum model for biological aggregation
Chad M. Topaz, Andrea L. Bertozzi, Mark A. Lewis
We construct a continuum model for biological aggregations in which individuals experience long-range social attraction and short range dispersal. For the case of one spatial dimen…
nlin.AO2003★ 1 cited
Swarming dynamics of a model for biological groups in two dimensions
C. M. Topaz, A. L. Bertozzi
We investigate a class of continuum models for the motion of a two-dimensional biological group under the influence of nonlocal social interactions. The dynamics may be uniquely de…