Comment on “Transmission Model of Hepatitis B Virus with Migration Effect”

We show the erroneous assumptions and reasoning by introducing the migration effect of individuals in the transmission model of Hepatitis B virus. First, some false results related to the eigenvalues and reproductive number in the recent literature in mathematical biology will be presented. Then, it...

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Detalles Bibliográficos
Autores principales: Zeb, Anwar, Zaman, Gul
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Hindawi Publishing Corporation 2015
Materias:
Letter to the Editor
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4749090/
https://www.ncbi.nlm.nih.gov/pubmed/27022601
http://dx.doi.org/10.1155/2015/492513
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author Zeb, Anwar
Zaman, Gul
author_facet Zeb, Anwar
Zaman, Gul
author_sort Zeb, Anwar
collection PubMed
description We show the erroneous assumptions and reasoning by introducing the migration effect of individuals in the transmission model of Hepatitis B virus. First, some false results related to the eigenvalues and reproductive number in the recent literature in mathematical biology will be presented. Then, it will be proved that the product of the matrices in the next generation method to obtain the reproductive number R (0) is not correct and the local and global stability results based on the reproductive number R (0) are considered false.
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spelling pubmed-47490902016-03-28 Comment on “Transmission Model of Hepatitis B Virus with Migration Effect” Zeb, Anwar Zaman, Gul Biomed Res Int Letter to the Editor We show the erroneous assumptions and reasoning by introducing the migration effect of individuals in the transmission model of Hepatitis B virus. First, some false results related to the eigenvalues and reproductive number in the recent literature in mathematical biology will be presented. Then, it will be proved that the product of the matrices in the next generation method to obtain the reproductive number R (0) is not correct and the local and global stability results based on the reproductive number R (0) are considered false. Hindawi Publishing Corporation 2015 2015-12-17 /pmc/articles/PMC4749090/ /pubmed/27022601 http://dx.doi.org/10.1155/2015/492513 Text en Copyright © 2015 A. Zeb and G. Zaman. https://creativecommons.org/licenses/by/4.0/ This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
spellingShingle Letter to the Editor
Zeb, Anwar
Zaman, Gul
Comment on “Transmission Model of Hepatitis B Virus with Migration Effect”
title Comment on “Transmission Model of Hepatitis B Virus with Migration Effect”
title_full Comment on “Transmission Model of Hepatitis B Virus with Migration Effect”
title_fullStr Comment on “Transmission Model of Hepatitis B Virus with Migration Effect”
title_full_unstemmed Comment on “Transmission Model of Hepatitis B Virus with Migration Effect”
title_short Comment on “Transmission Model of Hepatitis B Virus with Migration Effect”
title_sort comment on “transmission model of hepatitis b virus with migration effect”
topic Letter to the Editor
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4749090/
https://www.ncbi.nlm.nih.gov/pubmed/27022601
http://dx.doi.org/10.1155/2015/492513
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