Table 1 Model parameters and their interpretations
From: A dynamic model and some strategies on how to prevent and control hepatitis c in mainland China
Parameter | Description |
|---|---|
μ | Natural birth or death rate |
Λ in (102,106) | Recruitment rate |
l in (0, 0.1) | Transmission rate of the exposed generation |
m in (0, 0.1) | Transmission rate of the acute infection generation |
n in (0, 0.1) | Transmission rate of chronic infection generation |
β1 in (0, 0.1) | Transmission infection rate of exposed population |
β2 in (0, 0.1) | Transmission infection rate of acutely infected population |
β3 in (0, 0.1) | Transmission infection rate of chronically infected population |
γ in (0, 1/30) | Remove rate from recovered to susceptible |
σ in (0, 0.05) | Rate of progression to acute stage from the exposed |
α in (0, 0.5) | Transition rate for the acutely infected |
d1 in (0, 0.01) | The mortality of acutely infected population |
d2 in (0, 0.01) | The mortality of chronically infected population |
ρ1 in (0, 0.1) | The proportion of natural recovered from acutely infected population |
ρ2 in (0.5, 1) | The proportion of chronic infection from acutely infected population |
δ in (0, 0.1) | Transition rate for the chronically infected |
η1 in (0, 1) | The proportion of recovered from treated population |
λ in (0, 1) | Transition rate for the treated |
p1 in (0, 1) | The proportion of natural recovered from chronically infected population |
\({\mathcal {R}_{0}}\) | The number of infected during the initial patient’s infectious (not sick) period |