Table 2. Model variables and parameters.
Compartments and parameterizations of an environmentally mediated infectious disease transmission model with dose–response and a latency period, Eq (3).
Variables | |
S(t) | Number of susceptible people |
E(t) | Number of exposed people |
I(t) | Number of infectious people |
R(t) | Number of recovered people |
W(t) | Concentration of pathogens in the environment |
Parameters | |
γ | Recovery rate (per day) |
κ | Rate at which individuals contact the environment (per day) |
ρ | Volume of environment consumed (per contact) |
V | Total volume of the environment |
α | Deposition rate of pathogens per unit volume of environment (per day) |
μ | Pathogen decay rate (per day) |
ξ | Removal rate of pathogens; sum decay and pick-up rates (per day) |
σ | Rate of moving from a latent to infectious state (per day) |
Functions | |
f(⋅) | Dose–response function; probability of infection given a dose |