Parameter | Definitions | |
c(t) | c_{0} | Contact rate at the initial time |
c_{b} | Minimum contact rate under the current control strategies | |
r_{1} | Exponential decreasing rate of contact rate | |
c | Constant contact rate | |
β | Probability of infected individual’s transmission per contact | |
q(t) | q_{0} | Quarantined rate of exposed individuals at the initial time |
q_{m} | Maximum quarantined rate of exposed individuals under the current control strategies | |
r_{2} | 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 | |
β_{A} | Probability of asymptomatic individual’s transmission per contact | |
β_{H} | 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 | |
δ_{I}(t) | δ_{I0} | Initial diagnosis rate of infected individuals |
δ_{If} | Fastest diagnosis rate of infected individuals | |
r_{3} | Exponential increasing rate of diagnosis rate of infected individuals | |
δ_{I} | Constant diagnosis rate of infected individuals | |
δ_{T}(t) | δ_{T0} | Initial diagnosis rate of quarantined individuals |
δ_{Tf} | Fastest diagnosis rate of quarantined individuals | |
r_{4} | Exponential increasing rate of diagnosis rate of quarantined individuals | |
δ_{T} | Constant diagnosis rate of quarantined individuals | |
ω | Confirmation ratio of quarantined exposed individuals | |
θ | Rate at which the confirmed infected individuals were hospitalized | |
γ_{A} | Recovery rate of asymptomatic infected individuals | |
γ_{1} | Recovery rate of confirmed infected individuals without hospitalization | |
γ_{2} | Recovery rate of hospitalized infected individuals | |
α | Disease-induced death rate of infected individuals | |
α_{1} | Disease-induced death rate of confirmed infected individuals without hospitalization | |
α_{2} | Disease-induced death rate of hospitalized infected individuals | |
H_{c}(t) | H_{0} | The number of available hospital beds at the initial time |
H_{f} | Maximum capacity of hospital beds | |
r_{h} | 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 | |
S_{q}(0) | Initial quarantined susceptible population | |
H_{1}(0) | Initial confirmed infected population without hospitalization | |
H_{2}(0) | Initial hospitalized infected population | |
R(0) | Initial recovered population |