Table 2

The model reaction constants (parameters) and initial individual populations for COVID-19 epidemic outbreak with their biological definitions, all data are confirmed cases in China presented in [15].

Symbols Biological definitions Estimated values
S(0) Initial susceptible individuals 11.081 × 106
E(0) Initial exposed individuals 105.1
I(0) Initial symptomatic infected individuals 27.679
A(0) Initial pre-symptomatic infected individuals 53.839
Sq(0) Initial quarantined susceptible individuals 739
Eq(0) Initial quarantined exposed individuals 1.1642
H(0) Initial quarantined hospitalized individuals 1
R(0) Initial recovered individuals 2
k1 Contact rate 14.781
k2 Probability of transmission per contact 2.1011 × 10−8
k3 Quarantined rate of exposed individuals 1.8887 × 10−7
k4 Transition rate of exposed individuals to the infected class
k5 The multiple of the transmissibility of A to I 0.3
k6 Rate at which the quarantined uninfected contacts were released into the wider community
k7 Probability of having symptoms among infected individuals 0.86834
k8 Transition rate of symptomatic infected individuals to the quarantined infected class 0.13266
k9 Transition rate of quarantined exposed individuals to the quarantined infected class 0.1259
k10 Recovery rate of symptomatic infected individuals 0.33029
k11 Recovery rate of asymptomatic infected individuals 0.13978
k12 Recovery rate of quarantined infected individuals 0.11624
k13 Disease-induced death rate 1.7826 × 10−5

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