Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/88023
Type: Artigo de periódico
Title: The Basic Reproduction Number Obtained From Jacobian And Next Generation Matrices - A Case Study Of Dengue Transmission Modelling
Author: Yang H.M.
Abstract: The basic reproduction number is a key parameter in mathematical modelling of transmissible diseases. From the stability analysis of the disease free equilibrium, by applying Routh-Hurwitz criteria, a threshold is obtained, which is called the basic reproduction number. However, the application of spectral radius theory on the next generation matrix provides a different expression for the basic reproduction number, that is, the square root of the previously found formula. If the spectral radius of the next generation matrix is defined as the geometric mean of partial reproduction numbers, however the product of these partial numbers is the basic reproduction number, then both methods provide the same expression. In order to show this statement, dengue transmission modelling incorporating or not the transovarian transmission is considered as a case study. Also tuberculosis transmission and sexually transmitted infection modellings are taken as further examples.
Editor: Elsevier Ireland Ltd
Rights: fechado
Identifier DOI: 10.1016/j.biosystems.2014.10.002
Address: http://www.scopus.com/inward/record.url?eid=2-s2.0-84910048029&partnerID=40&md5=73cf73b1530bfde2d771629caa0a620a
Date Issue: 2014
Appears in Collections:Unicamp - Artigos e Outros Documentos

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