Particle velocity controls phase transitions in contagion dynamics

Abstract Interactions often require the proximity between particles. The movement of particles, thus, drives the change of the neighbors which are located in their proximity, leading to a sequence of interactions. In pathogenic contagion, infections occur through proximal interactions, but at the sa...

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Main Authors: Jorge P. Rodríguez, Fakhteh Ghanbarnejad, Víctor M. Eguíluz
Format: Article
Language:English
Published: Nature Portfolio 2019-04-01
Series:Scientific Reports
Online Access:https://doi.org/10.1038/s41598-019-42871-x
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author Jorge P. Rodríguez
Fakhteh Ghanbarnejad
Víctor M. Eguíluz
author_facet Jorge P. Rodríguez
Fakhteh Ghanbarnejad
Víctor M. Eguíluz
author_sort Jorge P. Rodríguez
collection DOAJ
description Abstract Interactions often require the proximity between particles. The movement of particles, thus, drives the change of the neighbors which are located in their proximity, leading to a sequence of interactions. In pathogenic contagion, infections occur through proximal interactions, but at the same time, the movement facilitates the co-location of different strains. We analyze how the particle velocity impacts on the phase transitions on the contagion process of both a single infection and two cooperative infections. First, we identify an optimal velocity (close to half of the interaction range normalized by the recovery time) associated with the largest epidemic threshold, such that decreasing the velocity below the optimal value leads to larger outbreaks. Second, in the cooperative case, the system displays a continuous transition for low velocities, which becomes discontinuous for velocities of the order of three times the optimal velocity. Finally, we describe these characteristic regimes and explain the mechanisms driving the dynamics.
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spelling doaj.art-b63026c6a0b54feba5b206abaa88f1ae2022-12-21T23:37:38ZengNature PortfolioScientific Reports2045-23222019-04-01911910.1038/s41598-019-42871-xParticle velocity controls phase transitions in contagion dynamicsJorge P. Rodríguez0Fakhteh Ghanbarnejad1Víctor M. Eguíluz2Instituto de Física Interdisciplinar y Sistemas Complejos IFISC (CSIC-UIB)Technische Universität BerlinInstituto de Física Interdisciplinar y Sistemas Complejos IFISC (CSIC-UIB)Abstract Interactions often require the proximity between particles. The movement of particles, thus, drives the change of the neighbors which are located in their proximity, leading to a sequence of interactions. In pathogenic contagion, infections occur through proximal interactions, but at the same time, the movement facilitates the co-location of different strains. We analyze how the particle velocity impacts on the phase transitions on the contagion process of both a single infection and two cooperative infections. First, we identify an optimal velocity (close to half of the interaction range normalized by the recovery time) associated with the largest epidemic threshold, such that decreasing the velocity below the optimal value leads to larger outbreaks. Second, in the cooperative case, the system displays a continuous transition for low velocities, which becomes discontinuous for velocities of the order of three times the optimal velocity. Finally, we describe these characteristic regimes and explain the mechanisms driving the dynamics.https://doi.org/10.1038/s41598-019-42871-x
spellingShingle Jorge P. Rodríguez
Fakhteh Ghanbarnejad
Víctor M. Eguíluz
Particle velocity controls phase transitions in contagion dynamics
Scientific Reports
title Particle velocity controls phase transitions in contagion dynamics
title_full Particle velocity controls phase transitions in contagion dynamics
title_fullStr Particle velocity controls phase transitions in contagion dynamics
title_full_unstemmed Particle velocity controls phase transitions in contagion dynamics
title_short Particle velocity controls phase transitions in contagion dynamics
title_sort particle velocity controls phase transitions in contagion dynamics
url https://doi.org/10.1038/s41598-019-42871-x
work_keys_str_mv AT jorgeprodriguez particlevelocitycontrolsphasetransitionsincontagiondynamics
AT fakhtehghanbarnejad particlevelocitycontrolsphasetransitionsincontagiondynamics
AT victormeguiluz particlevelocitycontrolsphasetransitionsincontagiondynamics