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. 2020 Jun 18;326:108405. doi: 10.1016/j.mbs.2020.108405

Table A.1.

Definition of the symbols used in Model (1) and their values used in the examples.

Symbol Description Values & range
ki Rate of progression from Ei to Ii, i.e., 1ki is the mean latent period (1/10, 1/7)
γai Rate of recovery, i.e., 1γai is the mean infectious period for A class (1/10, 1/5)
γi Rate of recovery, i.e., 1γi is the mean infectious period for I class (1/10, 1/5)
R0i Basic reproduction number for group i (1.7, 3.6)
a0i Effective contact rate in the absence of intervention See Eq. (4)
ai(t) Effective contact rate under intervention such as social distancing See Eq. (5)
θi Infectivity ratio of Ai to Ii individuals, 0θi1 (0.3, 0.6)
χi Infectivity ratio of Hi to Ii individuals, 0χi1 (0, 0.2)
ϵi Level of preference for contacting one’s own group, 0ϵi1 (0.5, 0.9)
cij Proportion of contacts a member of group i has with group j See Eq. (3)
λi(t) Force of infection for susceptibles in group i at time t See Eq. (2)
pi Proportions of infectious that are symptomatic. p1p2p3 (0.4,0.8)
qi Proportions of disease deaths from the H class (0.00064, 0.032)
ϕi 1ϕi is the mean duration in Hi before disease death (0.05, 0.1)
δi Rate of disease death from the Ii class (0,0.0008)
ηi Rate of moving from the Ii class into the Hi class (0.2, 0.5)
Tj Time points when a new policy starts. T0T1T2T3=Tend Vary
sj(i) Reduction of contacts for group i in time interval (Tj1,Tj] Vary
sb=s1(i) Reduction of contacts during the initial restrictions, i.e., in (T0,T1] 0.8
sr Reduction of contacts in the residual period t>Tend 0.2

Note: i,j=1,2,3. Time unit is days. Most parameter ranges are based on [1], [16], [19], [28].