Analytically Solvable Model of Spreading Dynamics with Non-Poissonian Processes

Tutkimustuotos: Lehtiartikkelivertaisarvioitu

Standard

Analytically Solvable Model of Spreading Dynamics with Non-Poissonian Processes. / Jo, Hang-Hyun; Perotti, Juan I.; Kaski, Kimmo; Kertesz, Janos.

julkaisussa: Physical Review X, Vuosikerta 4, Nro 1, 011041, 2014, s. 1-6.

Tutkimustuotos: Lehtiartikkelivertaisarvioitu

Harvard

APA

Vancouver

Author

Bibtex - Lataa

@article{4f361245004f4a08870477be53a0e4ac,
title = "Analytically Solvable Model of Spreading Dynamics with Non-Poissonian Processes",
abstract = "Non-Poissonian bursty processes are ubiquitous in natural and social phenomena, yet little is known about their effects on the large-scale spreading dynamics. In order to characterize these effects, we devise an analytically solvable model of susceptible-infected spreading dynamics in infinite systems for arbitrary inter-event time distributions and for the whole time range. Our model is stationary from the beginning, and the role of the lower bound of inter-event times is explicitly considered. The exact solution shows that for early and intermediate times, the burstiness accelerates the spreading as compared to a Poisson-like process with the same mean and same lower bound of inter-event times. Such behavior is opposite for late-time dynamics in finite systems, where the power-law distribution of inter-event times results in a slower and algebraic convergence to a fully infected state in contrast to the exponential decay of the Poisson-like process. We also provide an intuitive argument for the exponent characterizing algebraic convergence.",
author = "Hang-Hyun Jo and Perotti, {Juan I.} and Kimmo Kaski and Janos Kertesz",
year = "2014",
doi = "10.1103/PhysRevX.4.011041",
language = "English",
volume = "4",
pages = "1--6",
journal = "Physical Review X",
issn = "2160-3308",
publisher = "American Physical Society",
number = "1",

}

RIS - Lataa

TY - JOUR

T1 - Analytically Solvable Model of Spreading Dynamics with Non-Poissonian Processes

AU - Jo, Hang-Hyun

AU - Perotti, Juan I.

AU - Kaski, Kimmo

AU - Kertesz, Janos

PY - 2014

Y1 - 2014

N2 - Non-Poissonian bursty processes are ubiquitous in natural and social phenomena, yet little is known about their effects on the large-scale spreading dynamics. In order to characterize these effects, we devise an analytically solvable model of susceptible-infected spreading dynamics in infinite systems for arbitrary inter-event time distributions and for the whole time range. Our model is stationary from the beginning, and the role of the lower bound of inter-event times is explicitly considered. The exact solution shows that for early and intermediate times, the burstiness accelerates the spreading as compared to a Poisson-like process with the same mean and same lower bound of inter-event times. Such behavior is opposite for late-time dynamics in finite systems, where the power-law distribution of inter-event times results in a slower and algebraic convergence to a fully infected state in contrast to the exponential decay of the Poisson-like process. We also provide an intuitive argument for the exponent characterizing algebraic convergence.

AB - Non-Poissonian bursty processes are ubiquitous in natural and social phenomena, yet little is known about their effects on the large-scale spreading dynamics. In order to characterize these effects, we devise an analytically solvable model of susceptible-infected spreading dynamics in infinite systems for arbitrary inter-event time distributions and for the whole time range. Our model is stationary from the beginning, and the role of the lower bound of inter-event times is explicitly considered. The exact solution shows that for early and intermediate times, the burstiness accelerates the spreading as compared to a Poisson-like process with the same mean and same lower bound of inter-event times. Such behavior is opposite for late-time dynamics in finite systems, where the power-law distribution of inter-event times results in a slower and algebraic convergence to a fully infected state in contrast to the exponential decay of the Poisson-like process. We also provide an intuitive argument for the exponent characterizing algebraic convergence.

U2 - 10.1103/PhysRevX.4.011041

DO - 10.1103/PhysRevX.4.011041

M3 - Article

VL - 4

SP - 1

EP - 6

JO - Physical Review X

JF - Physical Review X

SN - 2160-3308

IS - 1

M1 - 011041

ER -

ID: 897068