Please use this identifier to cite or link to this item: http://hdl.handle.net/1822/60580

TitleOptimal control strategies for an advertisement viral diffusion
Author(s)Gonçalves, João N. C.
Rodrigues, Helena Sofia
Monteiro, M. Teresa T.
KeywordsOptimal control theory
Viral marketing
SIR epidemiological model
Information diffusion strategies
Issue date2018
PublisherSpringer
JournalSpringer Proceedings in Mathematics & Statistics
Abstract(s)The process of diffusing viral marketing campaigns through social networks can be modeled under concepts of mathematical epidemiology. Based on a Susceptible-Infected-Recovered (SIR) epidemiological model, the benefits of optimal control theory on the diffusion of a real viral advertisement are studied. Two optimal control strategies that could help marketers to maximize the spread of information and minimize the costs associated to it in optimal time windows are analyzed and compared. The uniqueness of optimality system is proved. Numerical simulations show that high investment costs in publicity strategies do not imply high overall levels of information diffusion. This paper contributes to the current literature by studying a viral marketing campaign using real numerical data.
TypeConference paper
URIhttp://hdl.handle.net/1822/60580
ISBN9783319715827
DOI10.1007/978-3-319-71583-4_10
ISSN2194-1009
Peer-Reviewedyes
AccessOpen access
Appears in Collections:CAlg - Artigos em livros de atas/Papers in proceedings

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