AN E-RUMOUR MODEL WITH CONTROL ON THE SPREADERS

作者：Bernard Severine^*; Bouza Gemayqzel; Pietrus Alain

来源：Comptes Rendus de l Academie Bulgare des Sciences, 2016, 69(11): 1407-1414.

• e-rumour
• optimal control
• Pontryagin's maximum principle

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.

• 出版日期2016