Table I.
Definition of Symbols and Parameter Values Used in Simulations
| Symbols | Definition | Value (range) |
|---|---|---|
| S(t) | Number of susceptible individuals at time t | |
| I(t) | Number of infectious individuals at time t | |
| I u(t) (I tr(t)) | Number of untreated (treated) infectious at time t | |
| R(t) | Number of recovered individuals at time t | |
| t 0 | Time of introduction of the pathogen to the population Varied | Varied |
| β 0 | Background transmission rate |
|
| ε | Related to the oscillation amplitude | 0.35 |
| γ u | Recovery rate of untreated individuals | 1/γ u = 3 (days) |
| γ tr | Recovery rate of treated individuals | 1/γ tr = 2 (days) |
|
Proportion of susceptibles vaccinated | [0, 1] |
| η | Efficacy of vaccine | [0, 1] |
|
Proportion of susceptibles successfully vaccinated | [0, 1] |
| f 0 | Proportion of infections treated | [0, 1] |
| t v | Beginning times of vaccination | Varied |
| σ | Reduction in transmission due to treatment | 0.5 |