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Table 1 Parameter definitions for the COVID-19 epidemics

From: Effects of medical resource capacities and intensities of public mitigation measures on outcomes of COVID-19 outbreaks

Parameter Definitions
c(t) c0 Contact rate at the initial time
cb Minimum contact rate under the current control strategies
r1 Exponential decreasing rate of contact rate
c Constant contact rate
β Probability of infected individual’s transmission per contact
q(t) q0 Quarantined rate of exposed individuals at the initial time
qm Maximum quarantined rate of exposed individuals under the current control strategies
r2 Exponential increasing rate of quarantined rate of exposed individuals
q Constant quarantined rate of exposed individuals
ϑ Quarantined rate of susceptible individuals to the suspected class
βA Probability of asymptomatic individual’s transmission per contact
βH Probability of quarantined infected individual’s transmission per contact
ρ Proportion of symptomatic infection
σ Transition rate of exposed individuals to the infected class
λ Rate at which the quarantined uninfected contacts were released into the wider community
δI(t) δI0 Initial diagnosis rate of infected individuals
δIf Fastest diagnosis rate of infected individuals
r3 Exponential increasing rate of diagnosis rate of infected individuals
δI Constant diagnosis rate of infected individuals
δT(t) δT0 Initial diagnosis rate of quarantined individuals
δTf Fastest diagnosis rate of quarantined individuals
r4 Exponential increasing rate of diagnosis rate of quarantined individuals
δT Constant diagnosis rate of quarantined individuals
ω Confirmation ratio of quarantined exposed individuals
θ Rate at which the confirmed infected individuals were hospitalized
γA Recovery rate of asymptomatic infected individuals
γ1 Recovery rate of confirmed infected individuals without hospitalization
γ2 Recovery rate of hospitalized infected individuals
α Disease-induced death rate of infected individuals
α1 Disease-induced death rate of confirmed infected individuals without hospitalization
α2 Disease-induced death rate of hospitalized infected individuals
Hc(t) H0 The number of available hospital beds at the initial time
Hf Maximum capacity of hospital beds
rh Exponential increasing rate of hospital beds
Initial values Definitions
S(0) Initial susceptible population
E(0) Initial exposed population
I(0) Initial infected population
A(0) Initial asymptomatic population
T(0) Initial suspected population
Sq(0) Initial quarantined susceptible population
H1(0) Initial confirmed infected population without hospitalization
H2(0) Initial hospitalized infected population
R(0) Initial recovered population