Table 1 Fitted and estimated values of the model parameters.
Parameter | Description | Value in days | References |
|---|---|---|---|
\(\phi _{h} \) | Birth rate of humans | 11731.91 | |
\(\phi _{r}\) | Birth rate of animals or rodents | 0.016 | |
\(\eta \) | Waning induced immunity | 0.2010 | Fitted |
\(\rho \) | Recovery rate of \(C_{h}\) | 0.0843 | Fitted |
\(\beta \) | Transition rate of \(E_{h}\) to \(I_{h}\) | 0.0486 | Fitted |
\(\gamma \) | Moving of \(I_{h}\) to \(C_{h}\) | 0.1119 | Fitted |
\(\beta _3 \) | Contact rate of \(S_{r}\) and \(I_{r}\) | 0.2461 | Fitted |
\(\beta _{1} \) | Contact rate of \(S_{h}\) and \(I_{h}\) | 0.5701 | Fitted |
\(\beta _{2} \) | Contact rate between \(I_{r}\) and \(S_{h}\) | 0.2508 | Fitted |
\(\alpha _{h} \) | Vaccinated against monkeypox | 0.2393 | Fitted |
\(\mu _{h}\) | Natural death rate of humans | 1/(79*365) | |
\(\delta _{1}\) | Disease induced mortality rate of infectious human | 0.0011 | Fitted |
\(\delta _{2}\) | Disease-induced rate of \(C_{h}\) | 1.0091e−04 | Fitted |
\(\delta _{3}\) | Disease induced death rate of infected animals | 1.5303e−05 | Fitted |
\(\omega _{1}\) | Permanent immunity due to treatment | 0.4670 | Fitted |
\(\mu _{r}\) | Natural death rate of animals | 0.000016 | |
\(\omega _{2}\) | Recovery rate due to immunity | 0–1 | Assumed |
\(\epsilon \) | Progression from being \(E_{r}\) to \(I_{r}\) | 0.1053 | Fitted |
