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Title: | Assessing inference of the basic reproduction number in an SIR model incorporating a growth-scaling parameter | Authors: | GANYANI, Tapiwa FAES, Christel Chowell, Gerardo HENS, Niel |
Issue Date: | 2018 | Publisher: | WILEY | Source: | STATISTICS IN MEDICINE, 37 (29), p. 4490-4506 | Abstract: | The standard mass action, which assumes that infectious disease transmission occurs in well-mixed populations, is popular for formulating compartmental epidemic models. Compartmental epidemic models often follow standard mass action for simplicity and to gain insight into transmission dynamics as it often performs well at reproducing disease dynamics in large populations. In this work, we formulate discrete time stochastic susceptible-infected-removed models with linear (standard) and nonlinear mass action structures to mimic varying mixing levels. Using simulations and real epidemic data, we demonstrate the sensitivity of the basic reproduction number to these mathematical structures of the force of infection. Our results suggest the need to consider nonlinear mass action in order to generate more accurate estimates of the basic reproduction number although its uncertainty increases due to the addition of one growth scaling parameter. | Notes: | Ganyani, T (reprint author), UHasselt Hasselt Univ, Interuniv Inst Biostat & Stat Bioinformat, Diepenbeek, Belgium. tapiwa.ganyani@uhasselt.be | Keywords: | basic reproduction number;discrete time stochastic SIR model;early epidemic growth phase;epidemic modeling;mass action principle | Document URI: | http://hdl.handle.net/1942/27300 | ISSN: | 0277-6715 | e-ISSN: | 1097-0258 | DOI: | 10.1002/sim.7935 | ISI #: | 000450111600010 | Rights: | 2018 John Wiley & Sons, Ltd | Category: | A1 | Type: | Journal Contribution |
Appears in Collections: | Research publications |
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File | Description | Size | Format | |
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Main Document.pdf | Peer-reviewed author version | 5.51 MB | Adobe PDF | View/Open |
Assessing inference of the basic reproduction number in an SIR model incorporating a growth‐scaling parameter.pdf Restricted Access | Published version | 6.36 MB | Adobe PDF | View/Open Request a copy |
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