Simple predator-prey swarming model
Vladimir Zhdankin* and J. C. Sprott
Department of Physics, University of Wisconsin–Madison, Madison,
Wisconsin 53706, USA
Received 21 February 2010;
revised
manuscript received 5 July 2010; published 19 November 2010
ABSTRACT
This paper describes an
individual-based
model for simulating the swarming behavior of prey in the
presence of
predators. Predators and prey are represented as agents that
interact
through radial force laws. The prey form swarms through
attractive and
repulsive forces. The predators interact with the prey through
an
anti-Newtonian force, which is a nonconservative force that acts
in the
same direction for both agents. Several options for forces
between
predators are explored. The resulting equations are solved
numerically
and the dynamics are described in the context of the swarm’s
ability to
realistically avoid the predators. The goal is to reproduce
swarm
behavior that has been observed in nature with the simplest
possible
model.
Ref: V. Zhdankin and
J. C. Sprott, Physical Review E
82, 056209-1 - 056209-7
(2010)