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. Author manuscript; available in PMC: 2021 Oct 29.
Published in final edited form as: J Biomed Inform. 2021 May 20;119:103818. doi: 10.1016/j.jbi.2021.103818

Table 2.

Nomenclature for variables, parameters and their roles in the ODE system.

Symbol Meaning Roles in the ODE system
S(t) Susceptible population at a timet Fitted variable
I(t) Infectious population at a timet Fitted variable
R(t) Recovered population at a timet Fitted variable
H(t) Hospitalized population at a timet Fitted variable
C(t) Critical population at a timet Fitted variable
D(t) Dead population at a timet Fitted variable
R0, aka,R0 (t) Reproduction number of coronavirus at a time t, which differs from changing quarantine protocols Fitted parameter
Tinc COVID-19 incubation period Fixed parameter
Thosp Average time a patient is in the hospital before either recovering or becoming critical Fitted parameter
Tcrit Average time a patient is in critical state before either recovering or dead Fitted parameter
ra Asymptomatic rate in the infected population Fitted parameter
rc Critical rate in the hospitalized population Fitted parameter
rf Deceased rate in the critical population Fitted parameter
*

Variables are the targets of modeling in the ODE system while parameters influence the optimization.