Theory and Modern Applications
Notation | Parameters description | Numerical value |
---|---|---|
\(\tilde{n}_{k}\) | Birth rate | 1 |
\(\tilde{m}_{k}\) | Death rate of infected population | \(\frac{1}{(76.79\times 365)}\) |
\(\tilde{b}_{k}\) | Transmission coefficient | 0.05 |
\(\tilde{b}_{l}\) | Disease transmission coefficient | 0.001231 |
\(\tilde{\omega }_{k}\), \(\tilde{\omega }'_{k}\) | Signified incubation period | 0.001243, 0.05 |
\(\tilde{\gamma }_{k}\), \(\tilde{\gamma }'_{k}\) | Recovery rate of \({\mathcal{I}}_{k}\), \({\mathcal{A}}_{k}\) | 0.09871, 0.0854302 |
ξ̃, η̃ | Influence of virus from \({\mathcal{I}}_{k}\) and \({\mathcal{A}}_{k}\) to \({\mathcal{M}}_{k}\) | 0.0398, 0.01 |
ν̃ | Amount of asymptotic infection | 0.1243 |
κ̃ | Transmissibility multiple | 0.02 |
η̃ | Elimination rate of virus from \({\mathcal{M}}_{k}\) | 0.01 |
\(\mathcal{Y}_{0}\) | Initial value of susceptible | 220 million |
\(\mathcal{I}_{0}\) | Initial value of infected | 0.015 million |
\(\mathcal{V}_{0}\) | Initial value of exposed | 100 million |
\(\mathcal{A}_{0}\) | Initial value of asymptotically infected | 0.60 million |
\(\mathcal{R}_{0}\) | Initial value of recovered | 0 million |
\(\mathcal{M}_{0}\) | Initial value of reservoir | 0.1 million |