Z-controlling with awareness a SEIR model with overexposure. An application to Covid-19 epidemic

We apply the Z-control approach to a SEIR model including a overexposure mechanism and consider awareness as a time-dependent variable whose dynamics is not assigned a priori. Exploiting the potential of awareness to produce social distancing and self-isolation among susceptibles, we use it as an indirect control on the class of infective individuals and apply the Z-control approach to detect what trend awareness must display over time in order to eradicate the disease. To this aim, we generalize the Z-control procedure to appropriately treat an uncontrolled model with more than two governing equations. Analytical and numerical investigations on the resulting Z-controlled system show its capability in controlling some representative dynamics within both the backward and the forward scenarios. The awareness variable is qualitatively compared to Google Trends data on Covid-19 and qualitative indications are inferred in view of the disease control.
Autori IAC
Tipo pubblicazione
Altri Autori
Deborah Lacitignola, Fasma Diele
Curatori Volume
Aimi, Alessandra Bisi, Marzia Diligenti, Mauro Groppi, Maria Guardasoni, Chiara Sanfelici, Simona
Titolo Volume