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. 2019 Dec 13;10(1):20190048. doi: 10.1098/rsfs.2019.0048

Table 2.

Summary of the numerical results for the longer cut-off times. Here, the values of T are 9 for θ1, 6 for θ2 and 7 for θ3 such that T is near the end of the epidemic process (also see figure 8). Method 3 yields accurate estimates without requiring knowledge of the size of the susceptible population n. Values in italics indicate the results corresponding to the best performing method.

β
γ
ρ
n statistics Method 1 Method 2 Method 3 Method 1 Method 2 Method 3 Method 3
β = 2 104 Avg. 2.0067 2.0067 2.0032 0.5002 0.5002 0.4980 0.0492
(MSE) (0.00046) (0.00046) (0.00082) (0.00002) (0.00002) (0.00004) (0.00001)
γ = 0.5 103 Avg. 2.0033 2.0033 1.9868 0.4996 0.4997 0.4974 0.0521
(MSE) (0.00334) (0.00334) (0.00883) (0.00024) (0.00024) (0.00028) (0.00014)
ρ = 0.05 102 Avg. 2.0433 2.0432 1.8890 0.5055 0.5055 0.4950 0.0636
(MSE) (0.04238) (0.04236) (0.07655) (0.07502) (0.00284) (0.00230) (0.00178)
β = 2 104 Avg. 2.0026 2.0007 2.0000 1.0003 0.9999 1.0002 0.0501
(MSE) (0.00046) (0.00044) (0.00101) (0.00012) (0.00013) (0.00013) (0.00001)
γ = 1 103 Avg. 1.9942 1.9942 2.0027 0.9961 0.9960 0.9963 0.0505
(MSE) (0.00489) (0.00489) (0.01151) (0.00107) (0.00108) (0.00172) (0.00015)
ρ = 0.05 102 Avg. 2.0002 2.0005 1.8997 1.0425 1.0431 1.0056 0.0702
(MSE) (0.06295) (0.0628) (0.14231) (0.02772) (0.02748) (0.03915) (0.00402)
β = 1.5 104 Avg 1.5003 1.5003 1.5016 0.9992 0.9993 1.0024 0.0497
(MSE) (0.00037) (0.00037) (0.00078) (0.00018) (0.00018) (0.00022) (0.00002)
γ = 1 103 Avg. 1.4940 1.4941 1.4911 1.0094 1.0092 0.9957 0.0493
(MSE) (0.00362) (0.00362) (0.00615) (0.00180) (0.00177) (0.00245) (0.00014)
ρ = 0.05 102 Avg. 1.4126 1.4127 1.3362 1.1211 1.1199 1.0090 0.1087
(MSE) (0.0796) (0.07962) (0.15705) (0.10955) (0.10715) (0.04502) (0.01313)