dorsal/arxiv
View SchemaA model for rolling swarms of locusts
| Authors | Chad M. Topaz, Andrew J. Bernoff, Sheldon Logan, Wyatt Toolson |
|---|---|
| Categories | |
| ArXiv ID | q-bio/0703016 |
| URL | https://arxiv.org/abs/q-bio/0703016 |
| DOI | 10.1140/epjst/e2008-00633-y |
Abstract
We construct an individual-based kinematic model of rolling migratory locust swarms. The model incorporates social interactions, gravity, wind, and the effect of the impenetrable boundary formed by the ground. We study the model using numerical simulations and tools from statistical mechanics, namely the notion of H-stability. For a free-space swarm (no wind and gravity), as the number of locusts increases, it approaches a crystalline lattice of fixed density if it is H-stable, and in contrast becomes ever more dense if it is catastrophic. Numerical simulations suggest that whether or not a swarm rolls depends on the statistical mechanical properties of the corresponding free-space swarm. For a swarm that is H-stable in free space, gravity causes the group to land and form a crystalline lattice. Wind, in turn, smears the swarm out along the ground until all individuals are stationary. In contrast, for a swarm that is catastrophic in free space, gravity causes the group to land and form a bubble-like shape. In the presence of wind, the swarm migrates with a rolling motion similar to natural locust swarms. The rolling structure is similar to that observed by biologists, and includes a takeoff zone, a landing zone, and a stationary zone where grounded locusts can rest and feed.
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"abstract": "We construct an individual-based kinematic model of rolling migratory locust\nswarms. The model incorporates social interactions, gravity, wind, and the\neffect of the impenetrable boundary formed by the ground. We study the model\nusing numerical simulations and tools from statistical mechanics, namely the\nnotion of H-stability. For a free-space swarm (no wind and gravity), as the\nnumber of locusts increases, it approaches a crystalline lattice of fixed\ndensity if it is H-stable, and in contrast becomes ever more dense if it is\ncatastrophic. Numerical simulations suggest that whether or not a swarm rolls\ndepends on the statistical mechanical properties of the corresponding\nfree-space swarm. For a swarm that is H-stable in free space, gravity causes\nthe group to land and form a crystalline lattice. Wind, in turn, smears the\nswarm out along the ground until all individuals are stationary. In contrast,\nfor a swarm that is catastrophic in free space, gravity causes the group to\nland and form a bubble-like shape. In the presence of wind, the swarm migrates\nwith a rolling motion similar to natural locust swarms. The rolling structure\nis similar to that observed by biologists, and includes a takeoff zone, a\nlanding zone, and a stationary zone where grounded locusts can rest and feed.",
"arxiv_id": "q-bio/0703016",
"authors": [
"Chad M. Topaz",
"Andrew J. Bernoff",
"Sheldon Logan",
"Wyatt Toolson"
],
"categories": [
"q-bio.PE",
"nlin.AO"
],
"doi": "10.1140/epjst/e2008-00633-y",
"title": "A model for rolling swarms of locusts",
"url": "https://arxiv.org/abs/q-bio/0703016"
},
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