Abstract
People of the modern world are using social network Web sites to communicate with others either known or unknown, for getting opinions of others and giving their opinions to others. The post, weblogs, effects or affects human mind, at least for some time. These posts take a part in choosing their decisions and play an important role. But the information present in the post is either information or just misinformation, i.e., just a rumor. People are confused to distinguish these posts in either a correct information or misinformation. It is important to decide whether this is information or just a rumor because it may cause a support of the wrong decision of the whole majority. In this paper, a mathematical framework is presented related to these matters. Firstly, we proposed a mathematical model of news spreading from some posts displayed in an online social network. The development of mathematical models of news propagation uses the epidemiological modeling technique. Then, we proposed criteria of rumor detection and verification for the model. In the case of rumor, a revised model is proposed with media awareness as a control strategy for reducing the rumor spreading.
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