Contagions across networks: Colds and markets

Matthew J. Berryman, Neil F Johnson, Derek Abbott

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

We explore a variety of network models describing transmission across a network. In particular we focus on transmission across composite networks, or "networks of networks", in which a finite number of networked objects are then themselves connected together into a network. In a disease context we introduce two interrelated viruses to hosts on a network, to model the infection of hosts in a classroom situation, with high rates of infection within a classroom, and lower rates of infection between classrooms. The hosts can be either susceptible to infection, infected, or recovering from each virus. During the infection stage and recovery stage there is some level of cross-immunity to related viruses. We explore the effects of immunizing sections of the community on transmission through social networks. In a stock market context we introduce memes, or virus-like ideas into a virtual agent-based model of a stock exchange. By varying the parameters of the individual traders and the way in which they are connected we are able to show emergent behaviour, including boom and bust cycles.

Original languageEnglish (US)
Title of host publicationProceedings of SPIE - The International Society for Optical Engineering
EditorsA. Bender
Volume6039
DOIs
StatePublished - 2006
Externally publishedYes
EventComplex Systems - Brisbane, Australia
Duration: Dec 12 2005Dec 14 2005

Other

OtherComplex Systems
CountryAustralia
CityBrisbane
Period12/12/0512/14/05

Fingerprint

Viruses
infectious diseases
viruses
boom
Recovery
Composite materials
immunity
recovery
cycles
composite materials

Keywords

  • Financial modeling
  • Small world networks
  • Viruses

ASJC Scopus subject areas

  • Electrical and Electronic Engineering
  • Condensed Matter Physics

Cite this

Berryman, M. J., Johnson, N. F., & Abbott, D. (2006). Contagions across networks: Colds and markets. In A. Bender (Ed.), Proceedings of SPIE - The International Society for Optical Engineering (Vol. 6039). [60390O] https://doi.org/10.1117/12.638311

Contagions across networks : Colds and markets. / Berryman, Matthew J.; Johnson, Neil F; Abbott, Derek.

Proceedings of SPIE - The International Society for Optical Engineering. ed. / A. Bender. Vol. 6039 2006. 60390O.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Berryman, MJ, Johnson, NF & Abbott, D 2006, Contagions across networks: Colds and markets. in A Bender (ed.), Proceedings of SPIE - The International Society for Optical Engineering. vol. 6039, 60390O, Complex Systems, Brisbane, Australia, 12/12/05. https://doi.org/10.1117/12.638311
Berryman MJ, Johnson NF, Abbott D. Contagions across networks: Colds and markets. In Bender A, editor, Proceedings of SPIE - The International Society for Optical Engineering. Vol. 6039. 2006. 60390O https://doi.org/10.1117/12.638311
Berryman, Matthew J. ; Johnson, Neil F ; Abbott, Derek. / Contagions across networks : Colds and markets. Proceedings of SPIE - The International Society for Optical Engineering. editor / A. Bender. Vol. 6039 2006.
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