Selected article for: "generation matrix approach and reproductive number"
Author: Jingbo LIANG; Hsiang-Yu Yuan
Title: The impacts of diagnostic capability and prevention measures on transmission dynamics of COVID-19 in Wuhan
  • Document date: 2020_4_6
    • ID: 1cpli8kv_22
    Snippet: After obtaining the posterior simulation matrix of parameters and model hidden compartments, R t , the effective reproductive number at time t, was calculated using the next-generation matrix approach. Following the same notation as in the study by Diekmann et al. 23 , we obtained the transmission matrix T and the transition Σ. Each element in T represents the average newly infected cases in exposed (E) in a unit time transmitted by a single inf.....
    Document: After obtaining the posterior simulation matrix of parameters and model hidden compartments, R t , the effective reproductive number at time t, was calculated using the next-generation matrix approach. Following the same notation as in the study by Diekmann et al. 23 , we obtained the transmission matrix T and the transition Σ. Each element in T represents the average newly infected cases in exposed (E) in a unit time transmitted by a single infected individual in exposed (E) or infectious group (I), which can be calculated as β t [( 1 σ −η 1 σ )] S t or β t S t . Σ represents the transitions between cases in different groups. R t can be calculated as the first eigenvector using the following formula:

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