On the competition of two conflicting messages

There are plenty of conflicting messages in online social networks. This paper addresses the competition of two conflicting messages. Based on a novel individual-level competing spreading model (the generic UABU model), three criteria for one or two messages to terminate are presented. These criteria manifest the influence of the two message-spreading networks on the evolution of the two messages. Extensive computer simulations show that when a message terminates, the dynamics of a simplified UABU model (the linear UABU model) fits well with the expected evolutionary process of the message. These findings help in understanding the competing spreading process of two conflicting messages.

[1]  M. Newman Threshold effects for two pathogens spreading on a network. , 2005, Physical review letters.

[2]  Yuan Yan Tang,et al.  Dynamic malware containment under an epidemic model with alert , 2017 .

[3]  Komi Afassinou Analysis of the impact of education rate on the rumor spreading mechanism , 2014 .

[4]  Piet Van Mieghem,et al.  The N-intertwined SIS epidemic network model , 2011, Computing.

[5]  Wuyin Jin,et al.  Simulating the formation of spiral wave in the neuronal system , 2013 .

[6]  Liang’an Huo,et al.  Dynamical interplay between the dissemination of scientific knowledge and rumor spreading in emergency , 2016 .

[7]  Bahman Gharesifard,et al.  Stability of epidemic models over directed graphs: A positive systems approach , 2014, Autom..

[8]  Lu-Xing Yang,et al.  Heterogeneous virus propagation in networks: a theoretical study , 2017 .

[9]  Ming Tang,et al.  Suppressing disease spreading by using information diffusion on multiplex networks , 2016, Scientific Reports.

[10]  Wanlei Zhou,et al.  To Shut Them Up or to Clarify: Restraining the Spread of Rumors in Online Social Networks , 2014, IEEE Transactions on Parallel and Distributed Systems.

[11]  Divyakant Agrawal,et al.  Limiting the spread of misinformation in social networks , 2011, WWW.

[12]  Richard S. Varga,et al.  Matrix Iterative Analysis , 2000, The Mathematical Gazette.

[13]  Christos Faloutsos,et al.  Winner takes all: competing viruses or ideas on fair-play networks , 2012, WWW.

[14]  Yuan Yan Tang,et al.  On the Optimal Dynamic Control Strategy of Disruptive Computer Virus , 2017 .

[15]  Xiaofan Yang,et al.  The effect of infected external computers on the spread of viruses: A compartment modeling study , 2013 .

[16]  Guodong Ren,et al.  Collapse of ordered spatial pattern in neuronal network , 2016 .

[17]  Albert-László Barabási,et al.  Statistical mechanics of complex networks , 2001, ArXiv.

[18]  Robert Shorten,et al.  Hurwitz Stability of Metzler Matrices , 2010, IEEE Transactions on Automatic Control.

[19]  Shouhuai Xu,et al.  A Stochastic Model of Active Cyber Defense Dynamics , 2015, Internet Math..

[20]  Xiaofan Yang,et al.  The impact of patch forwarding on the prevalence of computer virus: A theoretical assessment approach , 2017 .

[21]  Piet Van Mieghem,et al.  Generalized Epidemic Mean-Field Model for Spreading Processes Over Multilayer Complex Networks , 2013, IEEE/ACM Transactions on Networking.

[22]  James A. Yorke,et al.  On asymptotically autonomous differential equations , 1967, Mathematical systems theory.

[23]  Shouhuai Xu,et al.  Active cyber defense dynamics exhibiting rich phenomena , 2015, HotSoS.

[24]  Lu-Xing Yang,et al.  The pulse treatment of computer viruses: a modeling study , 2014 .

[25]  Mahmoud Fouz,et al.  Why rumors spread so quickly in social networks , 2012, Commun. ACM.

[26]  Shouhuai Xu,et al.  A Stochastic Model of Multivirus Dynamics , 2012, IEEE Transactions on Dependable and Secure Computing.

[27]  Wanlei Zhou,et al.  A Sword with Two Edges: Propagation Studies on Both Positive and Negative Information in Online Social Networks , 2015, IEEE Transactions on Computers.

[28]  Lu-Xing Yang,et al.  A Novel Virus-Patch Dynamic Model , 2015, PloS one.

[29]  Mark E. J. Newman,et al.  Competing epidemics on complex networks , 2011, Physical review. E, Statistical, nonlinear, and soft matter physics.

[30]  William Rand,et al.  Competing Opinions and Stubborness: Connecting Models to Data , 2014, Physical review. E.

[31]  Jun Ma,et al.  Autapse-Induced Spiral Wave in Network of Neurons under Noise , 2014, PloS one.

[32]  Bo Song,et al.  Rumor spreading model considering hesitating mechanism in complex social networks , 2015 .

[33]  Krishna P. Gummadi,et al.  On the evolution of user interaction in Facebook , 2009, WOSN '09.

[34]  Christos Faloutsos,et al.  Interacting viruses in networks: can both survive? , 2012, KDD.

[35]  José M. F. Moura,et al.  Bi-Virus SIS Epidemics over Networks: Qualitative Analysis , 2015, IEEE Transactions on Network Science and Engineering.

[36]  Qirui Liu,et al.  Emergence of spiral wave induced by defects block , 2013, Commun. Nonlinear Sci. Numer. Simul..

[37]  C. Scoglio,et al.  On the existence of a threshold for preventive behavioral responses to suppress epidemic spreading , 2012, Scientific Reports.

[38]  Jiajia Wang,et al.  Immunization against the Spread of Rumors in Homogenous Networks , 2015, PloS one.

[39]  Shouhuai Xu,et al.  Cybersecurity dynamics , 2014, HotSoS '14.

[40]  Lu-Xing Yang,et al.  The Impact of the Network Topology on the Viral Prevalence: A Node-Based Approach , 2015, PloS one.

[41]  Shouhuai Xu,et al.  Push- and pull-based epidemic spreading in networks: Thresholds and deeper insights , 2012, TAAS.

[42]  D. Gillespie Exact Stochastic Simulation of Coupled Chemical Reactions , 1977 .

[43]  Shaun A. Thomas LIES, DAMN LIES, AND RUMORS: AN ANALYSIS OF COLLECTIVE EFFICACY, RUMORS, AND FEAR IN THE WAKE OF KATRINA , 2007 .

[44]  Jun Ma,et al.  Prediction for breakup of spiral wave in a regular neuronal network , 2016 .

[45]  Lu-Xing Yang,et al.  The optimal dynamic immunization under a controlled heterogeneous node-based SIRS model , 2016 .

[46]  Jingjing Cheng,et al.  SIHR rumor spreading model in social networks , 2012 .

[47]  Jian Liu,et al.  Dynamics of competing ideas in complex social systems , 2011, ArXiv.

[48]  Jun Xu,et al.  WORM vs. WORM: preliminary study of an active counter-attack mechanism , 2004, WORM '04.

[49]  Duncan J. Watts,et al.  Collective dynamics of ‘small-world’ networks , 1998, Nature.

[50]  Hiroshi Toyoizumi,et al.  Predators: good will mobile codes combat against computer viruses , 2002, NSPW '02.

[51]  William J. Stewart,et al.  Probability, Markov Chains, Queues, and Simulation: The Mathematical Basis of Performance Modeling , 2009 .

[52]  Hiroyuki Fujita,et al.  Role of Dislocation Movement in the Electrical Conductance of Nanocontacts , 2012, Scientific Reports.

[53]  Ping Li,et al.  SICR rumor spreading model in complex networks: Counterattack and self-resistance , 2014 .

[54]  Shouhuai Xu,et al.  Adaptive Epidemic Dynamics in Networks , 2013, ACM Trans. Auton. Adapt. Syst..

[55]  Lu-Xing Yang,et al.  A mixing propagation model of computer viruses and countermeasures , 2013 .

[56]  P. Van Mieghem,et al.  Virus Spread in Networks , 2009, IEEE/ACM Transactions on Networking.

[57]  S. Bornholdt,et al.  Scale-free topology of e-mail networks. , 2002, Physical review. E, Statistical, nonlinear, and soft matter physics.

[58]  Yuan Yan Tang,et al.  A Bi-Virus Competing Spreading Model with Generic Infection Rates , 2018, IEEE Transactions on Network Science and Engineering.

[59]  Jiguo Yu,et al.  Cost-Efficient Strategies for Restraining Rumor Spreading in Mobile Social Networks , 2017, IEEE Transactions on Vehicular Technology.

[60]  Jiajia Wang,et al.  Rumor spreading model considering forgetting and remembering mechanisms in inhomogeneous networks , 2013 .

[61]  Hosung Park,et al.  What is Twitter, a social network or a news media? , 2010, WWW '10.

[62]  Wei Huang,et al.  Rumor spreading model with consideration of forgetting mechanism: A case of online blogging LiveJournal , 2011 .