Mean-Field Dynamics of Inter-Switching Memes Competing over Multiplex Social Networks

Aresh Dadlani, Muthukrishnan Senthil Kumar, Manikanta Gowtham Maddi, Kiseon Kim

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

This letter characterizes the intertwined behavior of a susceptible-infected-susceptible epidemic model involving multiple mutually exclusive memes, each competing over distinct contact planes of an undirected multi-layer social network, with the possibility of inter-switching. Based on the mean-field theory, we contrast and derive closed-form analytical expressions for the steady-state thresholds that govern the transitions between extinction, co-existence, and absolute dominance of the inter-switchable memes. Moreover, a non-linear optimization formulation is presented to determine the optimal budget allocation for controlling the switching rates to a particular co-existing meme. Validated by simulations, the impact of switching on the tipping thresholds and their implications in reality are demonstrated using data extracted from online social networks.

Original languageEnglish
Article number7814274
Pages (from-to)967-970
Number of pages4
JournalIEEE Communications Letters
Volume21
Issue number5
DOIs
Publication statusPublished - May 1 2017
Externally publishedYes

Fingerprint

Mean Field
Social Networks
Mean field theory
Mutually exclusive
Mean-field Theory
Epidemic Model
Nonlinear Optimization
Coexistence
Extinction
Multilayer
Closed-form
Contact
Distinct
Formulation
Simulation

Keywords

  • epidemic spreading
  • mean-field approximation
  • Multiplex networks
  • optimal control
  • switching thresholds

ASJC Scopus subject areas

  • Modelling and Simulation
  • Computer Science Applications
  • Electrical and Electronic Engineering

Cite this

Mean-Field Dynamics of Inter-Switching Memes Competing over Multiplex Social Networks. / Dadlani, Aresh; Kumar, Muthukrishnan Senthil; Maddi, Manikanta Gowtham; Kim, Kiseon.

In: IEEE Communications Letters, Vol. 21, No. 5, 7814274, 01.05.2017, p. 967-970.

Research output: Contribution to journalArticle

Dadlani, Aresh ; Kumar, Muthukrishnan Senthil ; Maddi, Manikanta Gowtham ; Kim, Kiseon. / Mean-Field Dynamics of Inter-Switching Memes Competing over Multiplex Social Networks. In: IEEE Communications Letters. 2017 ; Vol. 21, No. 5. pp. 967-970.
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