Superinfection in networks

M. Märtens; R van de Bovenkamp; PFA Van Mieghem

doi:10.1109/SITIS.2015.9

Superinfection in networks

M. Märtens, R van de Bovenkamp, PFA Van Mieghem

Network Architectures and Services

Research output: Chapter in Book/Conference proceedings/Edited volume › Conference contribution › Scientific › peer-review

Abstract

We introduce an extension of the SIS epidemic model that describes infection, mutation and curing for a whole hierarchy of viruses, resembling a nested spreading process. In our model, high level viruses are only allowed to spread to nodes that have acquired a lower level of infection before. The simplest case of two viruses, in which one "superinfects" the other, shows already rich dynamics that are difficult to predict by common mean-field approximation techniques in certain cases. We derive an exact Markovian description for superinfection in the complete network and the star network showing that the steady state of the epidemic process is highly sensitive to the spreading rate of both viruses. Taking the spreading rates into account, we outline conditions for epidemic outbreaks, coexistence of both viruses and extinction cycles.

Original language	English
Title of host publication	Proceedings of the 11th International Conference on Signal-Image Technology and Internet-Based Systems
Editors	K Yetongnon, A Dipanda, R Chbeir
Place of Publication	Piscataway, NJ
Publisher	IEEE Society
Pages	413-420
Number of pages	8
ISBN (Print)	978-1-4673-9721-6
DOIs	https://doi.org/10.1109/SITIS.2015.9
Publication status	Published - 2015
Event	11th International Conference on Signal-Image Technology and Internet-Based Systems (SITIS) - Bangkok, Thailand Duration: 23 Nov 2015 → 27 Nov 2015 Conference number: 11 http://www.sitis-conf.org/past-conferences/www.sitis-conf.org-2015/index.php.html

Publication series

Name
Publisher	IEEE

Conference

Conference	11th International Conference on Signal-Image Technology and Internet-Based Systems (SITIS)
Abbreviated title	SITIS 2015
Country/Territory	Thailand
City	Bangkok
Period	23/11/15 → 27/11/15
Internet address	http://www.sitis-conf.org/past-conferences/www.sitis-conf.org-2015/index.php.html

Keywords

Viruses (medical)
Markov processes
Standards
Computational modeling
Curing
Computer worms

Access to Document

10.1109/SITIS.2015.9

Cite this

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title = "Superinfection in networks",

abstract = "We introduce an extension of the SIS epidemic model that describes infection, mutation and curing for a whole hierarchy of viruses, resembling a nested spreading process. In our model, high level viruses are only allowed to spread to nodes that have acquired a lower level of infection before. The simplest case of two viruses, in which one {"}superinfects{"} the other, shows already rich dynamics that are difficult to predict by common mean-field approximation techniques in certain cases. We derive an exact Markovian description for superinfection in the complete network and the star network showing that the steady state of the epidemic process is highly sensitive to the spreading rate of both viruses. Taking the spreading rates into account, we outline conditions for epidemic outbreaks, coexistence of both viruses and extinction cycles.",

keywords = "Viruses (medical), Markov processes, Standards, Computational modeling, Curing, Computer worms",

author = "M. M{\"a}rtens and {van de Bovenkamp}, R and {Van Mieghem}, PFA",

year = "2015",

doi = "10.1109/SITIS.2015.9",

language = "English",

isbn = "978-1-4673-9721-6",

publisher = "IEEE Society",

pages = "413--420",

editor = "K Yetongnon and A Dipanda and R Chbeir",

booktitle = "Proceedings of the 11th International Conference on Signal-Image Technology and Internet-Based Systems",

note = "11th International Conference on Signal-Image Technology and Internet-Based Systems (SITIS), SITIS 2015 ; Conference date: 23-11-2015 Through 27-11-2015",

url = "http://www.sitis-conf.org/past-conferences/www.sitis-conf.org-2015/index.php.html",

}

Märtens, M, van de Bovenkamp, R & Van Mieghem, PFA 2015, Superinfection in networks. in K Yetongnon, A Dipanda & R Chbeir (eds), Proceedings of the 11th International Conference on Signal-Image Technology and Internet-Based Systems. IEEE Society, Piscataway, NJ, pp. 413-420, 11th International Conference on Signal-Image Technology and Internet-Based Systems (SITIS), Bangkok, Thailand, 23/11/15. https://doi.org/10.1109/SITIS.2015.9

Superinfection in networks. / Märtens, M.; van de Bovenkamp, R; Van Mieghem, PFA.
Proceedings of the 11th International Conference on Signal-Image Technology and Internet-Based Systems. ed. / K Yetongnon; A Dipanda; R Chbeir. Piscataway, NJ: IEEE Society, 2015. p. 413-420.

Research output: Chapter in Book/Conference proceedings/Edited volume › Conference contribution › Scientific › peer-review

TY - GEN

T1 - Superinfection in networks

AU - Märtens, M.

AU - van de Bovenkamp, R

AU - Van Mieghem, PFA

N1 - Conference code: 11

PY - 2015

Y1 - 2015

N2 - We introduce an extension of the SIS epidemic model that describes infection, mutation and curing for a whole hierarchy of viruses, resembling a nested spreading process. In our model, high level viruses are only allowed to spread to nodes that have acquired a lower level of infection before. The simplest case of two viruses, in which one "superinfects" the other, shows already rich dynamics that are difficult to predict by common mean-field approximation techniques in certain cases. We derive an exact Markovian description for superinfection in the complete network and the star network showing that the steady state of the epidemic process is highly sensitive to the spreading rate of both viruses. Taking the spreading rates into account, we outline conditions for epidemic outbreaks, coexistence of both viruses and extinction cycles.

AB - We introduce an extension of the SIS epidemic model that describes infection, mutation and curing for a whole hierarchy of viruses, resembling a nested spreading process. In our model, high level viruses are only allowed to spread to nodes that have acquired a lower level of infection before. The simplest case of two viruses, in which one "superinfects" the other, shows already rich dynamics that are difficult to predict by common mean-field approximation techniques in certain cases. We derive an exact Markovian description for superinfection in the complete network and the star network showing that the steady state of the epidemic process is highly sensitive to the spreading rate of both viruses. Taking the spreading rates into account, we outline conditions for epidemic outbreaks, coexistence of both viruses and extinction cycles.

KW - Viruses (medical)

KW - Markov processes

KW - Standards

KW - Computational modeling

KW - Curing

KW - Computer worms

U2 - 10.1109/SITIS.2015.9

DO - 10.1109/SITIS.2015.9

M3 - Conference contribution

SN - 978-1-4673-9721-6

SP - 413

EP - 420

BT - Proceedings of the 11th International Conference on Signal-Image Technology and Internet-Based Systems

A2 - Yetongnon, K

A2 - Dipanda, A

A2 - Chbeir, R

PB - IEEE Society

CY - Piscataway, NJ

T2 - 11th International Conference on Signal-Image Technology and Internet-Based Systems (SITIS)

Y2 - 23 November 2015 through 27 November 2015

ER -

Superinfection in networks

Abstract

Publication series

Conference

Keywords

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