Explosive spreading on complex networks: The role of synergy

Physical Review. E
Quan-Hui LiuYing-Cheng Lai

Abstract

In spite of the vast literature on spreading dynamics on complex networks, the role of local synergy, i.e., the interaction of elements that when combined produce a total effect greater than the sum of the individual elements, has been studied but only for irreversible spreading dynamics. Reversible spreading dynamics are ubiquitous but their interplay with synergy has remained unknown. To fill this knowledge gap, we articulate a model to incorporate local synergistic effect into the classical susceptible-infected-susceptible process, in which the probability for a susceptible node to become infected through an infected neighbor is enhanced when the neighborhood of the latter contains a number of infected nodes. We derive master equations incorporating the synergistic effect, with predictions that agree well with the numerical results. A striking finding is that when a parameter characterizing the strength of the synergy reinforcement effect is above a critical value, the steady-state density of the infected nodes versus the basic transmission rate exhibits an explosively increasing behavior and a hysteresis loop emerges. In fact, increasing the synergy strength can promote the spreading and reduce the invasion and persistence ...Continue Reading

References

Apr 6, 2001·Physical Review Letters·R Pastor-Satorras, A Vespignani
May 15, 2002·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Damián H Zanette
Jun 13, 2002·Proceedings of the National Academy of Sciences of the United States of America·M Girvan, M E J Newman
Sep 21, 2002·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·M E J Newman
Apr 12, 2003·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Zonghua LiuNong Ye
Jun 1, 2004·Physical Review Letters·Marc BarthélemyAlessandro Vespignani
Mar 24, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Michele CatanzaroRomualdo Pastor-Satorras
Dec 31, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Petter Holme
Apr 1, 2006·Proceedings of the National Academy of Sciences of the United States of America·Duncan J Watts
Jun 29, 2006·Physical Review Letters·Thilo GrossBernd Blasius
Jul 25, 2006·Journal of Theoretical Biology·Naoki Masuda, Norio Konno
Oct 10, 2006·Physical Review Letters·M Angeles Serrano, Marián Boguñá
Oct 15, 2008·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Rui YangYing-Cheng Lai
Oct 2, 2009·Physical Review Letters·M E J Newman
Feb 25, 2010·Journal of Mathematical Biology·Jennifer LindquistFrederick H Willeboordse
Sep 28, 2010·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·G J BaxterJ F F Mendes
Jun 28, 2011·Physical Review Letters·Francisco J Pérez-RecheChristopher A Gilligan
Sep 10, 2011·Physical Review Letters·James P Gleeson
Nov 4, 2011·Journal of the Royal Society, Interface·Jonathan J LudlamChristopher A Gilligan
Dec 21, 2011·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Han-Xin YangBing-Hong Wang
Sep 26, 2012·Physical Review Letters·A V GoltsevJ F F Mendes
Dec 12, 2012·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Silvio C FerreiraRomualdo Pastor-Satorras
Jul 16, 2013·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Hyun Keun LeeJae Dong Noh
Aug 27, 2013·Physical Review Letters·Marian BoguñáRomualdo Pastor-Satorras
Oct 8, 2013·Physical Review Letters·Clara GranellAlex Arenas
Dec 18, 2013·Science·Dirk Brockmann, Dirk Helbing
Jan 1, 2014·PloS One·Kai GongYing-Cheng Lai
Feb 4, 2014·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Sergei N Taraskin, Francisco J Pérez-Reche
Mar 13, 2014·Scientific Reports·Nathan O Hodas, Kristina Lerman
May 30, 2014·Scientific Reports·Wei WangGyuWon Lee
Apr 12, 2013·Physical Review Letters·Alain BarratLai-Sang Young
Mar 31, 2015·Physical Review Letters·Antoine MoinetRomualdo Pastor-Satorras
Aug 15, 2015·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Wei WangYing-Cheng Lai
Jan 15, 2016·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·David Broder-RodgersSergei N Taraskin
Jan 29, 2016·Scientific Reports·J Gómez-GardeñesF J Pérez-Reche
Jan 30, 2016·Nature Communications·T VermaH J Herrmann
Apr 15, 2016·Physical Review. E·Silvio C FerreiraRomualdo Pastor-Satorras
Dec 15, 2016·Physical Review. E·Peter G FennellJames P Gleeson
Feb 9, 2017·Reports on Progress in Physics·Wei WangLidia A Braunstein
Nov 1, 2014·Physics Reports·S BoccalettiM Zanin

❮ Previous
Next ❯

Citations

Feb 8, 2018·Scientific Reports·Robert PaluchJanusz A Hołyst
Feb 3, 2018·Chaos·Jonas S Juul, Mason A Porter
Jul 25, 2017·Scientific Reports·Zhen SuH Eugene Stanley
Apr 2, 2018·Chaos·Jiao WuZonghua Liu
Jun 3, 2018·Chaos·Quan-Hui LiuTao Zhou
Feb 3, 2018·Chaos·Quan-Hui LiuH Eugene Stanley
Dec 25, 2019·Physical Review. E·Marcelo M de OliveiraSilvio C Ferreira
Apr 21, 2020·Physics Reports·Wei WangTao Zhou

❮ Previous
Next ❯

Related Concepts

Trending Feeds

COVID-19

Coronaviruses encompass a large family of viruses that cause the common cold as well as more serious diseases, such as the ongoing outbreak of coronavirus disease 2019 (COVID-19; formally known as 2019-nCoV). Coronaviruses can spread from animals to humans; symptoms include fever, cough, shortness of breath, and breathing difficulties; in more severe cases, infection can lead to death. This feed covers recent research on COVID-19.

Blastomycosis

Blastomycosis fungal infections spread through inhaling Blastomyces dermatitidis spores. Discover the latest research on blastomycosis fungal infections here.

Nuclear Pore Complex in ALS/FTD

Alterations in nucleocytoplasmic transport, controlled by the nuclear pore complex, may be involved in the pathomechanism underlying multiple neurodegenerative diseases including Amyotrophic Lateral Sclerosis and Frontotemporal Dementia. Here is the latest research on the nuclear pore complex in ALS and FTD.

Applications of Molecular Barcoding

The concept of molecular barcoding is that each original DNA or RNA molecule is attached to a unique sequence barcode. Sequence reads having different barcodes represent different original molecules, while sequence reads having the same barcode are results of PCR duplication from one original molecule. Discover the latest research on molecular barcoding here.

Chronic Fatigue Syndrome

Chronic fatigue syndrome is a disease characterized by unexplained disabling fatigue; the pathology of which is incompletely understood. Discover the latest research on chronic fatigue syndrome here.

Evolution of Pluripotency

Pluripotency refers to the ability of a cell to develop into three primary germ cell layers of the embryo. This feed focuses on the mechanisms that underlie the evolution of pluripotency. Here is the latest research.

Position Effect Variegation

Position Effect Variagation occurs when a gene is inactivated due to its positioning near heterochromatic regions within a chromosome. Discover the latest research on Position Effect Variagation here.

STING Receptor Agonists

Stimulator of IFN genes (STING) are a group of transmembrane proteins that are involved in the induction of type I interferon that is important in the innate immune response. The stimulation of STING has been an active area of research in the treatment of cancer and infectious diseases. Here is the latest research on STING receptor agonists.

Microbicide

Microbicides are products that can be applied to vaginal or rectal mucosal surfaces with the goal of preventing, or at least significantly reducing, the transmission of sexually transmitted infections. Here is the latest research on microbicides.

Related Papers

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
David Broder-RodgersSergei N Taraskin
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Vladimir VlasovTiago Pereira
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Alessandro RizzoMaurizio Porfiri
© 2022 Meta ULC. All rights reserved