%0 Journal Article
%T Rumor Spreading of a SICS Model on Complex Social Networks with Counter Mechanism
%A Chen Wan
%A Tao Li
%A Yuanmei Wang
%A Xiongding Liu
%J Open Access Library Journal
%V 3
%N 7
%P 1-11
%@ 2333-9721
%D 2016
%I Open Access Library
%R 10.4236/oalib.1102885
%X <div style="text-align:justify;">
	<span style="line-height:1.5;">The rumor spreading has been widely studied by scholars. However, there
exist some people who will persuade infected individuals to resist and
counterattack the rumor propagation in our social life. In this paper, a new </span><i style="line-height:1.5;">SICS</i><span style="line-height:1.5;"> (susceptible-infected-counter-susceptible) rumor
spreading model with counter mechanism on complex social networks is presented.
Using the mean-field theory the spreading dynamics of the rumor is studied in
detail.&nbsp;We obtain the basic reproductive number </span><i style="line-height:1.5;">r</i><i style="line-height:1.5;"> </i><span style="line-height:1.5;">and equilibriums. The basic reproductive number is correlated to the
network topology and the influence of the counter mechanism. When </span><strong style="line-height:1.5;"><em>¦Ñ</em></strong><strong style="line-height:1.5;">£¼1</strong><span style="line-height:1.5;">, the rumor-free
equilibrium is globally asymptotically stable, and when </span><span style="line-height:1.5;"><strong><em>¦Ñ</em>£¾1</strong></span><span style="line-height:1.5;">, the positive
equilibrium is permanent.&nbsp;Some interesting patterns of rumor spreading
involved with counter force have been revealed. Finally, numerical
simulations have been given to demonstrate the effectiveness of the theoretical
analysis.</span>
</div>
%K Rumor Spreading Model
%K Complex Social Networks
%K Counter Mechanism
%K Stability
%K Permanence
%U http://www.oalib.com/paper/5270695