PMID: 22587151May 17, 2012Paper

Effects of degree-biased transmission rate and nonlinear infectivity on rumor spreading in complex social networks

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
F Roshani, Y Naimi

Abstract

We introduce a generalized rumor spreading model and analytically investigate the spreading of rumors on scale-free (SF) networks. In the standard rumor spreading model, each node has an infectivity equal to its degree, and connectivity is uniform across all links. To generalize this model, we introduce an infectivity function that determines the number of simultaneous contacts that a given node (individual) may establish with its connected neighbors and a connectivity strength function (CSF) for the direct link between two connected nodes. These lead to a degree-biased propagation of rumors. For nonlinear functions, this generalization is reflected in the infectivity's exponent α and the CSF's exponent β. We show that, by adjusting exponents α and β, the epidemic threshold can be controlled. This feature is absent in the standard rumor spreading model. In addition, we obtain a critical threshold. We show that the critical threshold for our generalized model is greater than that of the standard model on a finite SF network. Theoretically, we show that β=-1 leads to a maximum spreading of rumors, and computation results on different networks verify our theoretical prediction. Also, we show that a smaller α leads to a larger spre...Continue Reading

References

Jun 12, 1998·Nature·D J Watts, S H Strogatz
Sep 27, 2000·Proceedings of the National Academy of Sciences of the United States of America·L A AmaralH E Stanley
Oct 18, 2000·Nature·H JeongA L Barabási
Nov 18, 2000·Physical Review Letters·R CohenS Havlin
Mar 22, 2001·Nature·S H Strogatz
Apr 6, 2001·Physical Review Letters·R Pastor-Satorras, A Vespignani
May 22, 2001·Science·A L Lloyd, R M May
Jun 21, 2001·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·R Pastor-Satorras, A Vespignani
Jun 22, 2001·Nature·F LiljerosY Aberg
Jul 20, 2001·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·M E Newman
Dec 12, 2001·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·R M May, A L Lloyd
Feb 16, 2002·Journal of Theoretical Biology·Jose M Montoya, Ricard V Sol
Mar 23, 2002·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Romualdo Pastor-Satorras, Alessandro Vespignani
Oct 9, 2002·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·M E J NewmanJustin Balthrop
Nov 22, 2002·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Marián Boguñá, Romualdo Pastor-Satorras
Feb 7, 2003·Physical Review Letters·Marián BoguñáAlessandro Vespignani
Apr 20, 2004·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Gábor Csányi, Balázs Szendroi
Feb 7, 2007·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Tao ZhouBing-Hong Wang
Jun 4, 2008·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Xinchu FuHaifeng Zhang

❮ Previous
Next ❯

Citations

Dec 3, 2016·Scientific Reports·Lei GaoHai-Feng Zhang
May 17, 2017·Physical Review. E·Shengfeng Deng, Wei Li
May 19, 2020·Nonlinear Dynamics·Shuzhen YuJiarong Li

❮ 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
Y MorenoAmalio F Pacheco
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
D H Zanette
Nature
D J DALEY, D G KENDALL
Journal of Theoretical Biology
Kazuki KawachiHiroshi Ueda
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
D H Zanette
© 2021 Meta ULC. All rights reserved