Table 2 Values of the \(k_{ij}\) entries among US divisions. In the top section, the values between Mid-Atlantic (MA) and the other divisions are obtained from fits of the first wave timing. In the central and bottom sections, the complete matrix (except the entries between MA and NE) is obtained using flight data for the first wave (from April 1st to May 31st) and the second (from September 1st to October 31st), respectively.
From: Impact of US vaccination strategy on COVID-19 wave dynamics
\(k_{ij}\) values (1st wave fits) | |||||||||
|---|---|---|---|---|---|---|---|---|---|
Division code | NE | MA | SA | ESC | WSC | ENC | WNC | M | P |
MA | 0.72 | 0 | 0.0014 | 0.00075 | 0.0017 | 0.0023 | 0.0005 | 0.002 | 0.0053 |
First wave \(k_{ij}\) values (Flight data, from April 1st to May 31st) | |||||||||
|---|---|---|---|---|---|---|---|---|---|
NE | 0 | 0.72 | 0.0045 | 0.00088 | 0.00087 | 0.0024 | 0.00052 | 0.00067 | 0.00091 |
MA | 0.72 | 0 | 0.019 | 0.0056 | 0.0041 | 0.012 | 0.0025 | 0.0031 | 0.0059 |
SA | 0.0043 | 0.018 | 0 | 0.0085 | 0.013 | 0.019 | 0.0057 | 0.0050 | 0.0067 |
ESC | 0.00092 | 0.0053 | 0.0093 | 0 | 0.0051 | 0.0068 | 0.0023 | 0.0035 | 0.0065 |
WSC | 0.00095 | 0.0038 | 0.014 | 0.0055 | 0 | 0.0092 | 0.0054 | 0.011 | 0.010 |
ENC | 0.0025 | 0.012 | 0.018 | 0.0063 | 0.0086 | 0 | 0.0082 | 0.0079 | 0.0099 |
WNC | 0.00038 | 0.0022 | 0.0056 | 0.0019 | 0.0046 | 0.0070 | 0 | 0.0055 | 0.0027 |
M | 0.00050 | 0.0020 | 0.0042 | 0.0026 | 0.011 | 0.0072 | 0.0043 | 0 | 0.028 |
P | 0.00084 | 0.0055 | 0.0063 | 0.0050 | 0.010 | 0.0092 | 0.0033 | 0.030 | 0 |
Second wave \(k_{ij}\) values (Flight data, from September 1st to October 31st) | |||||||||
|---|---|---|---|---|---|---|---|---|---|
Region-X | 0.0066 | 0.028 | 0.029 | 0.013 | 0.019 | 0.027 | 0.014 | 0.03 | 0.03 |
NE | 0 | 0.72 | 0.0028 | 0.00046 | 0.00031 | 0.0015 | 0.00026 | 0.00041 | 0.00082 |
MA | 0.72 | 0. | 0.011 | 0.002 | 0.0017 | 0.0064 | 0.0013 | 0.0021 | 0.0029 |
SA | 0.0026 | 0.011 | 0 | 0.005 | 0.005 | 0.0096 | 0.003 | 0.0033 | 0.0035 |
ESC | 0.00041 | 0.0019 | 0.0051 | 0 | 0.0019 | 0.0028 | 0.00087 | 0.0012 | 0.0015 |
WSC | 0.00028 | 0.0015 | 0.0049 | 0.0018 | 0 | 0.0028 | 0.0016 | 0.004 | 0.0034 |
ENC | 0.0014 | 0.0062 | 0.0089 | 0.0028 | 0.003 | 0 | 0.0039 | 0.0043 | 0.0045 |
WNC | 0.00024 | 0.0013 | 0.0028 | 0.0009 | 0.0017 | 0.0038 | 0 | 0.0028 | 0.0016 |
M | 0.00032 | 0.0017 | 0.0029 | 0.0011 | 0.0054 | 0.004 | 0.0026 | 0 | 0.014 |
P | 0.00074 | 0.0028 | 0.0032 | 0.0014 | 0.0046 | 0.0041 | 0.0018 | 0.015 | 0 |
