%0 Journal Article
%T Spreading Dynamics of a Social Information Model with Overlapping Community Structures on Complex Networks
%A Xiongding Liu
%A Tao Li
%A Yuanmei Wang
%A Chen Wan
%J Open Access Library Journal
%V 3
%N 5
%P 1-11
%@ 2333-9721
%D 2016
%I Open Access Library
%R 10.4236/oalib.1102701
%X <div style="text-align:justify;">
	<span style="line-height:1.5;">In this paper, we present a </span><i style="line-height:1.5;">SARS</i><span style="line-height:1.5;"> (susceptible-adopted-removed-susceptible) social information spreading model with
overlapping community structures on complex networks.
Using the mean field theory, the spreading dynamic of the model has been
studied. At first, we derived the spreading critical threshold value and equilibriums. Theoretical results indicate that the existence of
equilibriums is determined by threshold value. The threshold value is obviously
dependent on the topology of underlying networks. Furthermore, the globally
asymptotically stable equilibriums are proved in detail.
The overlap parameter&nbsp;of community structures can't
change the threshold value, but it can influence the extent of the social information
spreading. Numerical simulations confirmed the analytical results.</span>
</div>
%K Social Information Spreading
%K Overlap Parameter
%K Community Structures
%K Complex Networks
%K Threshold Value
%U http://www.oalib.com/paper/5267513