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Qualitative forecast and temporal evolution of the disease spreading using a simplified model and COVID-19 data for Italy

Simeone, R.

2020-09-25 infectious diseases
10.1101/2020.06.22.20137133 medRxiv
Show abstract

In a previous paper [1] a simplified SEIR model applied to COVID-19 cases detected in Italy, including the lockdown period, has shown a good fitting to the time evolution of the disease during the observed period. In this paper that model is applied to the initial data available for Italy in order to forecast, in a qualitative way, the time evolution of the disease spreading. The values obtained are to be considered indicative. The same model has been applied both to the data relating to Italy and to some italian regions (Lombardia, Piemonte, Lazio, Campania, Calabria, Sicilia, Sardegna), generally finding good qualitative results. The only tuning parameter in the model is the incubation period{tau} . In this modelization the tuning parameter, together with the calculated growth rate{kappa} of the exponential curve used to approximate the early stage data, are in strong relationship with the compartments transfer rates. The relationships between the parameters simplify modeling by allowing a rough (not supported by statistical considerations) forecast of the time evolution, starting from the first period of growth of the diffusion. Revision historyRevision # 1 O_LIErrata corrige in the system differential equation 1: in the the derivative of S were reported a wrong additional term N. Now the equation 1 is correct. C_LI

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