Theory and Modern Applications
From: Time-continuous and time-discrete SIR models revisited: theory and applications
Inputs: | – Population size N |
– Real-world data \(\{ \widetilde{\widetilde{S_{j}}} \} _{j = 1}^{M}\), \(\{ \widetilde{\widetilde{I_{j}}} \} _{j = 1}^{M}\), and \(\{ \widetilde{\widetilde{R_{j}}} \} _{j = 1}^{M}\) according to (36) | |
– Strictly increasing sequence \(\{ t_{j} \} _{j = 1}^{M}\) of time points with \(t_{1} = 0\) and \(t_{M} = T\) | |
Step 1: | – Compute all \(\Delta _{j + 1} = t_{j + 1} - t_{j}\) for all j∈{1,…,M − 1} |
Step 2: | – For all j∈{2,…,M}, compute \(\widetilde{\widetilde{\alpha _{j}}}\) and \(\widetilde{\widetilde{\beta _{j}}}\) according to (37) and (38) with real-world data |
Outputs: | – Sequences \(\{ \widetilde{\widetilde{\alpha _{j}}} \} _{j = 2}^{M}\) and \(\{ \widetilde{\widetilde{\beta _{j}}} \} _{j = 2}^{M}\) |