Group coordination in a biologically-inspired vectorial network model

Mwaffo, Violet and Porfiri, Maurizio (2016) Group coordination in a biologically-inspired vectorial network model. Group coordination in a biologically-inspired vectorial network model, 2 (8). e4. ISSN 2312-8623

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Abstract

Most of the mathematical models of collective behavior describe uncertainty in individual decision making through additive uniform noise. However, recent data driven studies on animal locomotion indicate that a number of animal species may be better represented by more complex forms of noise. For example, the popular zebrafish model organism has been found to exhibit a burst-and-coast swimming style with occasional fast and large changes of direction. Based on these observations, the turn rate of this small fish has been modeled as a mean reverting stochastic process with jumps. Here, we consider a new model for collective behavior inspired by the zebrafish animal model. In the vicinity of the synchronized state and for small noise intensity, we establish a closed-form expression for the group polarization and through extensive numerical simulations we validate our findings. These results are expected to aid in the analysis of zebrafish locomotion and contribute a new set of mathematical tools to study collective behavior of networked noisy dynamical systems.

Item Type: Article
Uncontrolled Keywords: biological groups, polarization, stochastic jump process, turn rate, vectorial network model
Subjects: Q Science > QA Mathematics > QA75 Electronic computers. Computer science
QA75 Electronic computers. Computer science
Depositing User: EAI Editor IV
Date Deposited: 01 Jul 2021 11:56
Last Modified: 01 Jul 2021 11:56
URI: https://eprints.eudl.eu/id/eprint/4331

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