AN E-RUMOUR MODEL WITH CONTROL ON THE SPREADERS

The understanding and the control of the phenomena of rumour on social networks, mainly e-rumour nowadays, are big challenges for communities, organizations and states. For example, rumour's propagation can jeopardise their public opinion and affect their financial markets. In these last decade...

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Published inComptes rendus de l'Academie bulgare des Sciences Vol. 69; no. 11; pp. 1407 - 1414
Main Authors Bernard, Severine, Bouza, Gemayqzel, Pietrus, Alain
Format Journal Article
LanguageEnglish
Published Bulgarian Academy of Sciences 01.01.2016
Subjects
General Mathematics
Mathematics
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Summary:The understanding and the control of the phenomena of rumour on social networks, mainly e-rumour nowadays, are big challenges for communities, organizations and states. For example, rumour's propagation can jeopardise their public opinion and affect their financial markets. In these last decades, many mathematical theories have been developed on this topic, both in algebraic and numerical terms. In this paper, we formulate the problem of rumour spread in terms of optimal control problem, which is new in this topic. We then solve it and provide some numerical results in order to strengthen our theoritical study at the end of the paper.Key words: e-rumour, optimal control, Pontryagin's maximum principle 2010 Mathematics Subject Classification: 49J15, 91C99
ISSN:1310-1331
2367-5535