Table 1 Description and dimension of parameters for the general SIRD transmission model (1).

From: Analysis, control, and forecasting the dynamics of SIRD models with saturated treatment and nonlinear incidence

Parameter

Description

Dimension

p

Recruitment rate of susceptible individuals

\((time)^{-1}\)

K

Maximum population capacity

(population)

w

Prevention efficacy (isolation, masks, ventilation)

\(\beta\)

Disease transmission coefficient

\((population)^{-2}(time)^{-1}\)

a

Saturation factor for infection inhibition

\((population)^{-2}\)

\(\mu\)

Natural mortality rate

\((time)^{-1}\)

r

Waning immunity rate for recovered individuals

\((time)^{-1}\)

\(\sigma\)

Natural recovery rate from infection

\((time)^{-1}\)

\(\xi\)

Disease-induced fatality rate

\((time)^{-1}\)

\(\alpha\)

Rate of deceased removal/disposal

\((time)^{-1}\)

v

Treatment rate (therapeutic administration)

b

Treatment saturation factor

\((population)^{-1}\)