Table 2 The parameters and initial conditions defining three outbreak cases, key values that can be derived from these, and the timescales that result from these in the SEIR-C system.
Case | Parameters | Initial condition | Derived values | Timescales |
|---|---|---|---|---|
1 | \(\alpha = 2.5\) \(\Omega = 0.04\) \(\Gamma = 0.008\) | \(\eta _0 = 0.01\) \(S_0 = 0.99\) \(E_0 = 0\) \(I_0 = 0.01\) | \(\alpha / \Gamma = 25\) \(S_f = 0\) \(S_\eta = 0.98\) | \({\mathscr {T}}_\eta = 0.988\) \({\mathscr {T}}_E\) = 6.325 \({\mathscr {T}}_\Omega = 25\) \({\mathscr {T}}_\Gamma = 125\) |
2 | \(\alpha = 10\) \(\Omega = 0.0004\) \(\Gamma = 0.004\) | \(\eta _0 = 0.1\) \(S_0 = 0.99\) \(E_0 = 0\) \(I_0 = 0.01\) | \(\alpha / \Gamma = 2500\) \(S_f = 0\) \(S_\eta = 0.36\) | \({\mathscr {T}}_\eta = 0.632\) \({\mathscr {T}}_E\) = 3.16 \({\mathscr {T}}_\Omega = 3333\) \({\mathscr {T}}_\Gamma = 250\) |
3 | \(\alpha = 2\) \(\Omega = 0.01\) \(\Gamma = 1\) | \(\eta _0 = 0.01\) \(S_0 = 0.99\) \(E_0 = 0\) \(I_0 = 0.01\) | \(\alpha / \Gamma = 2\) \(S_f = 0.193\) \(S_\eta = 0.97\) | \({\mathscr {T}}_\eta = 0.99\) \({\mathscr {T}}_E\) = 6.34 \({\mathscr {T}}_\Omega = 100\) \({\mathscr {T}}_\Gamma = 1\) |
