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 language | English |
|---|---|
| Article number | 7814274 |
| Pages (from-to) | 967-970 |
| Number of pages | 4 |
| Journal | IEEE Communications Letters |
| Volume | 21 |
| Issue number | 5 |
| DOIs | |
| Publication status | Published - May 1 2017 |
| Externally published | Yes |
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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 journal › Article
}
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
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
UR - http://www.scopus.com/inward/record.url?scp=85028707245&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85028707245&partnerID=8YFLogxK
U2 - 10.1109/LCOMM.2017.2651815
DO - 10.1109/LCOMM.2017.2651815
M3 - Article
VL - 21
SP - 967
EP - 970
JO - IEEE Communications Letters
JF - IEEE Communications Letters
SN - 1089-7798
IS - 5
M1 - 7814274
ER -