TY - JOUR
T1 - Mean-Field Dynamics of Inter-Switching Memes Competing over Multiplex Social Networks
AU - Dadlani, Aresh
AU - Kumar, Muthukrishnan Senthil
AU - Maddi, Manikanta Gowtham
AU - Kim, Kiseon
N1 - Funding Information:
Manuscript received December 6, 2016; accepted January 6, 2017. Date of publication January 11, 2017; date of current version May 6, 2017. This research was a part of the project titled ‘Development of an automated fish-counter system and measurement of underwater farming-fish’, funded by the Ministry of Oceans and Fisheries, South Korea. The associate editor coordinating the review of this letter and approving it for publication was P. D. Yoo.
Publisher Copyright:
© 2017 IEEE.
Copyright:
Copyright 2017 Elsevier B.V., All rights reserved.
PY - 2017/5/1
Y1 - 2017/5/1
N2 - 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.
AB - 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.
KW - epidemic spreading
KW - mean-field approximation
KW - Multiplex networks
KW - optimal control
KW - switching thresholds
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U2 - 10.1109/LCOMM.2017.2651815
DO - 10.1109/LCOMM.2017.2651815
M3 - Article
AN - SCOPUS:85028707245
VL - 21
SP - 967
EP - 970
JO - IEEE Communications Letters
JF - IEEE Communications Letters
SN - 1089-7798
IS - 5
M1 - 7814274
ER -