#### Filter Results:

- Full text PDF available (2)

#### Publication Year

2008

2009

- This year (0)
- Last 5 years (0)
- Last 10 years (2)

#### Publication Type

#### Co-author

#### Journals and Conferences

#### Key Phrases

Learn More

- Andrew J. Leverentz, Chad M. Topaz, Andrew J. Bernoff
- SIAM J. Applied Dynamical Systems
- 2009

We classify and predict the asymptotic dynamics of a class of swarming models. The model consists of a conservation equation in one dimension describing the movement of a population density field. The velocity is found by convolving the density with a kernel describing attractive-repulsive social interactions. The kernel’s first moment and its limiting… (More)

We explore the behavior of an integrodifferential equation used to model one-dimensional biological swarms. In this model, we assume the motion of the swarm is determined by pairwise interactions, which in a continuous setting corresponds to a convolution of the swarm density with a pairwise interaction kernel. For a large class of interaction kernels, we… (More)

- ‹
- 1
- ›