title: Time delay can facilitate coherence in self-driven interacting-particle systems.
abstract: Directional switching in a self-propelled particle model with delayed interactions is investigated. It is shown that the average switching time is an increasing function of time delay. The presented results are applied to studying collective animal behavior. It is argued that self-propelled particle models with time delays can explain the state-dependent diffusion coefficient measured in experiments with locust groups. The theory is further generalized to heterogeneous groups where each individual can respond to its environment with a different time delay.
authors.affiliation: Mathematical Institute, University of Oxford, Radcliffe Observatory Quarter, Woodstock Road, Oxford OX2 6GG, United Kingdom and School of Science, China University of Mining and Technology, Xuzhou 221116, China.
authors.forename: Yongzheng
authors.initials: Y
authors.lastname: Sun
authors.affiliation: School of Mathematical Sciences, LMNS and SCMS, Fudan University, Shanghai 200433, China.
authors.forename: Wei
authors.initials: W
authors.lastname: Lin
authors.affiliation: Mathematical Institute, University of Oxford, Radcliffe Observatory Quarter, Woodstock Road, Oxford OX2 6GG, United Kingdom.
authors.forename: Radek
authors.initials: R
authors.lastname: Erban
mesh_terms: D000818:Animals; D001522:Behavior, Animal; D008962:Models, Theoretical; D009068:Movement; D013997:Time Factors