Geodesic
Modelli epidemiologici e vaccinazioni:da Bernoulli a oggi
Matematica, cultura e società, Série 1, Tome 3 (2018) no. 1, pp. 45-59.

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In questa rassegna vengono richiamati i modelli matematici alla base dell'epidemiologia matematica e vengono presentati alcuni modelli recenti di epidemiologia comportamentale, che permettono di rappresentare il processo decisionale che sta alla base della scelta di vaccinare. Verranno considerati a tale scopo modelli di tipo SIRV (Suscettibili - Infetti - Rimossi - Vaccinati) in cui la frazione di popolazione vaccinata $p(t)$ può dipendere da processi di imitazione (come in teoria dei giochi) o dalle informazioni (passate e presenti) disponibili. Infine verrà discusso un problema di controllo ottimo che permette di identificare il profilo temporale delle strategie di persuasione a vaccinare che le autorità sanitarie possono esercitare.
In this review, we recall the basic models of mathematical epidemiology and present some of their recent advances in the context of behavioral epidemiology. Such new models allow to mathematically represent the decision-making process ruling the immunization choices. In particular, a SIRV (Susceptibles - Infectious - Removed - Vaccinated) model is considered, where vaccine uptake levels can depend on imitation processes (as in game theory) or on the (past and present) available information about the disease status. Finally, an optimal control problem is discussed in order to identify the temporal profile of persuasive campaigns for vaccination that public health systems can implement. 
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Groppi, Maria; Della Marca, Rossella. Modelli epidemiologici e vaccinazioni:da Bernoulli a oggi. Matematica, cultura e società, Série 1, Tome 3 (2018) no. 1, pp. 45-59. http://geodesic.mathdoc.fr/item/RUMI_2018_1_3_1_a4/

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