The Mathematical Institute, University of Oxford, Eprints Archive

Refining self-propelled particle models for collective behaviour

Yates, Christian A. and Baker, Ruth E. and Erban, Radek and Maini, Philip K. (2009) Refining self-propelled particle models for collective behaviour. Refining self-propelled particle models for collective behaviour . (Submitted)

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Abstract

Swarming, schooling, flocking and herding are all names given to the wide variety of collective behaviours exhibited by groups of animals, bacteria and even individual cells. More generally, the term swarming describes the behaviour of an aggregate of agents (not necessarily biological) of similar size and shape which exhibit some emergent property such as directed migration or group cohesion. In this paper we review various individual-based models of collective behaviour and discuss their merits and drawbacks. We further analyse some one-dimensional models in the context of locust swarming. In specific models, in both one and two dimensions, we demonstrate how varying the parameters relating to how much attention individuals pay to their neighbours can dramatically change the behaviour of the group. We also introduce leader individuals to these models with the ability to guide the swarm to a greater or lesser degree as we vary the parameters of the model. We consider evolutionary scenarios for models with leaders in which individuals are allowed to evolve the degree of influence neighbouring individuals have on their subsequent motion.

Item Type:Article
Subjects:D - G > General
Research Groups:Oxford Centre for Collaborative Applied Mathematics
ID Code:951
Deposited By:Ruby Hawkins
Deposited On:02 Sep 2010 10:49
Last Modified:09 Feb 2012 16:06

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