Table 2 Model parameters with values, justification, and sources.
From: Modeling dysentery spread and the impact of public awareness on control dynamics
Parameter | Value | Unit | Justification/Method | Source |
|---|---|---|---|---|
\(\psi\) | 1000 | people \(\hbox {day}^{-1}\) | Assumed for model scaling. A constant recruitment rate was chosen for simplicity. | Estimated |
\(\beta\) | 0.0003 | \(\hbox {day}^{-1}\) | Contact rate. Sourced directly from prior literature on a similar model. | |
\(\sigma\) | 0.5 | \(\hbox {day}^{-1}\) | Assumed to be slower than the initial infection rate (\(\pi\)). | Assumed |
\(\gamma\) | 0.2 | \(\hbox {day}^{-1}\) | Assumed to reflect a moderate-intensity public health campaign. | Assumed |
\(\mu\) | 0.2 | \(\hbox {day}^{-1}\) | Sourced from literature for a theoretical population. | |
\(\delta _1\) | 0.01 | \(\hbox {day}^{-1}\) | Disease-induced death rate for severe cases. Sourced from literature. | |
\(\delta _2\) | 0.001 | \(\hbox {day}^{-1}\) | Assumed to be an order of magnitude lower than \(\delta _1\). | Assumed |
\(\phi\) | 0.1 | \(\hbox {day}^{-1}\) | Sourced from literature. | |
\(\Phi\) | 0.005 | \(\hbox {day}^{-1}\) | Sourced from literature. | |
\(\tau\) | 0.836 | dimensionless | Fitted within a plausible range (0.7–0.9) to achieve an \({\mathcal {R}}_0> 1\). | Fitted |
\(\pi\) | 0.2 | \(\hbox {day}^{-1}\) | Fitted to ensure a realistic incubation period of \(\sim\)5 days. | Fitted |
k | 0.1 | dimensionless | Assumed to reflect a low baseline education level. | Assumed |
\(\epsilon\) | 0.3 | dimensionless | Reduction in risk for educated class. Sourced from literature. |
