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Rates of Change of the Reproduction factors. 

Rates of Change of the Reproduction factors. 

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We investigate the spreading of information through Twitter messaging related to the spread of Ebola in western Africa using epidemic based dynamic models. Diffusive spreading leads to NLPDE models and fixed point analysis yields systems of NLODE models. When tweets are mapped as connected nodes in a graph and are treated as a time sequenced Markov...

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... Kwiatkow ska J et al. [14] divided Facebook users into susceptible group, disseminators and correctors groups, and performed a simulation and verification of Internet meme transmission on small-world networks. Smailhodzic A et al. [15] analyzed the popular Internet memes on the Twitter platform and used the SIR infectious disease model, and the results effectively predicted the spread of Ebola virus. Sun W et al. [16] added the P-state group to SIR model, simulated the network meme transmission process, generated the SIPR compartment model, and reported that the interference rate affected the final distribution of the system population. ...
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... These structures can be expressed as strongly divided or polarized, largely unified, fragmented, multi-clustered, predominately outward directed hub or as a predominately inward directed hub. A large graph can be made up of a distribution of these subsets and they can dynamically change in time 5,6 and can be modeled by systems of differential equations 7,8 and can form giant subgraphs 9,10,11 , exhibit power law scaling behavior 12,13 , demonstrate changes that are similar to phase changes 14 , lead to viral events that are non-Bayesian 15 , can topologically change in connectedness 16 , have rapid information diffusion 17 that may percolate 18 or they can constitute a small world 19 graph. In the sense that there is information diffusion in a graph there are often different mechanisms at work for different sending protocols and structures, i.e. hashtags vs. tweets etc. 20 Observing the classification and dynamics of such a graph for certain topics can lead to an engagement methodology based on threshold identifiers designed to indicate the development of action items, such as in sales or stock transfers. ...
... Table 1 Summary of Graph features for six Twitter based search topics. 6 Total tweet level activity can be characterized by the relative In and Out degrees of the vertices and by various centrality measures of the graph. As indicated by Fig. (3) for these specific graphs the betweenness centrality grows as a power law with page rank, which is the principle eigenvector of the normalized adjacency matrix for the graph and where vertex betweenness is defined as ( ) ...
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At the beginning of August 2014, after the first Ebola case was diagnosed in Nigeria, a Nigerian student posted a tweet urging the public to drink vast amounts of salty water in order to avoid catching the Ebola virus. Later, the World Health Organisation (WHO) reported that two people died and twenty were hospitalised in the country because of excessive consumption of salty water.