Theory and Modern Applications
Symbol | Description | Value | Dim. | Ref. |
---|---|---|---|---|
S(t) | Total number of susceptible individuals at time t. | – | – | – |
I(t) | Total number of infected individuals at time t. | – | – | – |
R(t) | Total number of recovered individuals at time t. | – | – | – |
μ | Per-capita birth/death rate. | 1/70 | Year−1 | |
β | Per-capita effective contact rate at which susceptible individuals acquire the infection. | 553.77 | Year−1 | Est. |
γ | Per-capita recovery rate for infected individuals. | 365/3.38 | Year−1 | |
α | Per-capita treatment rate for infected individuals. | 365/2 | Year−1 | Arbit. |
\(R_{\Diamond}\) | The basic reproduction number for model (11). | 1.525 | – | |
\(p_{0}\) | The proportion of time during which a non-infected individual stays at rest. | 0.2 | – | Arbit. |
\(p_{1}\) | The proportion of time during which an infected individual stays at rest. | 0.3 | – | Arbit. |
\(q_{0}\) | The proportion of time during which a non-infected individual mingles with other individuals in the total population. | 0.8 | – | Arbit. |
\(q_{1}\) | The proportion of time during which an infected individual mingles with other individuals in the total population. | 0.7 | – | Arbit. |
\(\widehat{P}_{r}\) | The percent reduction in the mingling proportion of time due to acquiring the infection. | 12.5 | – | Arbit. |