Bifurcations in synergistic epidemics on random regular graphs

S N Taraskin; F J Perez-Reche

doi:10.1088/1751-8121/ab1441

Bifurcations in synergistic epidemics on random regular graphs

S N Taraskin, F J Perez-Reche^* (Corresponding Author)

^*Corresponding author for this work

University of Cambridge

Research output: Contribution to journal › Article › peer-review

5 Citations (Scopus)

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Abstract

The role of cooperative effects (i.e. synergy) in transmission of infection is investigated analytically and numerically for epidemics following the rules of Susceptible-Infected-Susceptible (SIS) model defined on random regular graphs. Non-linear dynamics are shown to lead to bifurcation diagrams for such spreading phenomena exhibiting three distinct regimes: non-active, active and bi-stable. The dependence of bifurcation loci on node degree is studied and interesting effects are found that contrast with the behaviour expected for non-synergistic epidemics.

Original language	English
Article number	195101
Journal	Journal of Physics. A, Mathematical and theoretical
Volume	52
Issue number	19
Early online date	28 Mar 2019
DOIs	https://doi.org/10.1088/1751-8121/ab1441
Publication status	Published - 2019

Bibliographical note

Acknowledgements: FJPR acknowledges financial support from the Carnegie Trust.

Keywords

non-equilibrium phase transitions
mathematical models for epidemics
random graphs
bifurcations
synergy
MODELS
BEHAVIOR
SPREAD

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Cite this

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title = "Bifurcations in synergistic epidemics on random regular graphs",

abstract = "The role of cooperative effects (i.e. synergy) in transmission of infection is investigated analytically and numerically for epidemics following the rules of Susceptible-Infected-Susceptible (SIS) model defined on random regular graphs. Non-linear dynamics are shown to lead to bifurcation diagrams for such spreading phenomena exhibiting three distinct regimes: non-active, active and bi-stable. The dependence of bifurcation loci on node degree is studied and interesting effects are found that contrast with the behaviour expected for non-synergistic epidemics.",

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author = "Taraskin, {S N} and Perez-Reche, {F J}",

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language = "English",

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T1 - Bifurcations in synergistic epidemics on random regular graphs

AU - Taraskin, S N

AU - Perez-Reche, F J

N1 - Acknowledgements: FJPR acknowledges financial support from the Carnegie Trust.

PY - 2019

Y1 - 2019

N2 - The role of cooperative effects (i.e. synergy) in transmission of infection is investigated analytically and numerically for epidemics following the rules of Susceptible-Infected-Susceptible (SIS) model defined on random regular graphs. Non-linear dynamics are shown to lead to bifurcation diagrams for such spreading phenomena exhibiting three distinct regimes: non-active, active and bi-stable. The dependence of bifurcation loci on node degree is studied and interesting effects are found that contrast with the behaviour expected for non-synergistic epidemics.

AB - The role of cooperative effects (i.e. synergy) in transmission of infection is investigated analytically and numerically for epidemics following the rules of Susceptible-Infected-Susceptible (SIS) model defined on random regular graphs. Non-linear dynamics are shown to lead to bifurcation diagrams for such spreading phenomena exhibiting three distinct regimes: non-active, active and bi-stable. The dependence of bifurcation loci on node degree is studied and interesting effects are found that contrast with the behaviour expected for non-synergistic epidemics.

KW - non-equilibrium phase transitions

KW - mathematical models for epidemics

KW - random graphs

KW - bifurcations

KW - synergy

KW - MODELS

KW - BEHAVIOR

KW - SPREAD

UR - http://www.mendeley.com/research/bifurcations-synergistic-epidemics-random-regular-graphs

U2 - 10.1088/1751-8121/ab1441

DO - 10.1088/1751-8121/ab1441

M3 - Article

SN - 1751-8113

VL - 52

JO - Journal of Physics. A, Mathematical and theoretical

JF - Journal of Physics. A, Mathematical and theoretical

IS - 19

M1 - 195101

ER -

Bifurcations in synergistic epidemics on random regular graphs

Abstract

Bibliographical note

Keywords

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