| Title |
A Nonlocal Continuum Model for Biological Aggregation
|
|---|---|
| Published in |
Bulletin of Mathematical Biology, July 2006
|
| DOI | 10.1007/s11538-006-9088-6 |
| Pubmed ID | |
| Authors |
Chad M. Topaz, Andrea L. Bertozzi, Mark A. Lewis |
| Abstract |
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 dimension, we study the steady states analytically and numerically. There exist strongly nonlinear states with compact support and steep edges that correspond to localized biological aggregations, or clumps. These steady-state clumps are reached through a dynamic coarsening process. In the limit of large population size, the clumps approach a constant density swarm with abrupt edges. We use energy arguments to understand the nonlinear selection of clump solutions, and to predict the internal density in the large population limit. The energy result holds in higher dimensions as well, and is demonstrated via numerical simulations in two dimensions. |
Mendeley readers
The data shown below were compiled from readership statistics for 97 Mendeley readers of this research output. Click here to see the associated Mendeley record.
Geographical breakdown
| Country | Count | As % |
|---|---|---|
| United States | 5 | 5% |
| Italy | 2 | 2% |
| Spain | 1 | 1% |
| Japan | 1 | 1% |
| Unknown | 88 | 91% |
Demographic breakdown
| Readers by professional status | Count | As % |
|---|---|---|
| Student > Ph. D. Student | 26 | 27% |
| Researcher | 19 | 20% |
| Professor > Associate Professor | 12 | 12% |
| Professor | 10 | 10% |
| Student > Master | 9 | 9% |
| Other | 12 | 12% |
| Unknown | 9 | 9% |
| Readers by discipline | Count | As % |
|---|---|---|
| Mathematics | 30 | 31% |
| Engineering | 16 | 16% |
| Physics and Astronomy | 12 | 12% |
| Agricultural and Biological Sciences | 9 | 9% |
| Computer Science | 5 | 5% |
| Other | 10 | 10% |
| Unknown | 15 | 15% |
Attention Score in Context
This research output has an Altmetric Attention Score of 3. This is our high-level measure of the quality and quantity of online attention that it has received. This Attention Score, as well as the ranking and number of research outputs shown below, was calculated when the research output was last mentioned on 24 March 2021.
All research outputs
#7,451,584
of 22,780,967 outputs
Outputs from Bulletin of Mathematical Biology
#299
of 1,094 outputs
Outputs of similar age
#22,763
of 65,611 outputs
Outputs of similar age from Bulletin of Mathematical Biology
#4
of 8 outputs
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