Diffusion in Networks

The Strategic Spread of Islamism

Maureen Boyce, Mark Byrne, Erin Dorpinghaus, Davender S. Malik, John N. Mordeson

Research output: Contribution to journalArticle

Abstract

In this paper, we develop a fuzzy mathematics approach to study the influence of actors in networks on diffusion. We construct a dynamic diffusion model that represents the interactions and evolution of the current international network and determines the rate of Islamism by the internal and external pressures exerted on each state. We then identify key states in the international system by their degree to test if, and to what extent, they influence the rate and breadth of diffusion. Using this model we determine to what extent the most central actors in a network influence the overall rate of diffusion. We hypothesize that diffusion by the most central actors in the international system will greatly increase the overall rate of diffusion for the remaining actors. Given the current structure of the international system, we hypothesize that the prevalence of Islamism will decrease over time.

Original languageEnglish
Pages (from-to)113-133
Number of pages21
JournalNew Mathematics and Natural Computation
Volume12
Issue number2
DOIs
StatePublished - Jul 1 2016

Fingerprint

Fuzzy Mathematics
Breadth
Diffusion Model
Dynamic Model
Internal
Decrease
Actors
Interaction
Influence
Model

All Science Journal Classification (ASJC) codes

  • Applied Mathematics
  • Computational Mathematics
  • Computer Science Applications
  • Computational Theory and Mathematics
  • Human-Computer Interaction

Cite this

Diffusion in Networks : The Strategic Spread of Islamism. / Boyce, Maureen; Byrne, Mark; Dorpinghaus, Erin; Malik, Davender S.; Mordeson, John N.

In: New Mathematics and Natural Computation, Vol. 12, No. 2, 01.07.2016, p. 113-133.

Research output: Contribution to journalArticle

Boyce, Maureen ; Byrne, Mark ; Dorpinghaus, Erin ; Malik, Davender S. ; Mordeson, John N. / Diffusion in Networks : The Strategic Spread of Islamism. In: New Mathematics and Natural Computation. 2016 ; Vol. 12, No. 2. pp. 113-133.
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