Age-Dependent Branching Processes for Surveillance of Vaccine-Preventable Diseases with Incubation Period
The purpose of this paper is to review the recent results of the authors in the area of infectious disease modeling by means of branching stochastic processes. This is a new approach involving age-dependent branching models, which turned out to be more appropriate and flexible for describing the spr...
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ftpubmed:oai:pubmedcentral.nih.gov:3059657 2023-05-15T15:34:23+02:00 Age-Dependent Branching Processes for Surveillance of Vaccine-Preventable Diseases with Incubation Period Slavtchova-Bojkova, Maroussia N. González, Miguel Martìnez, Rodrigo 2010-10-08 http://www.ncbi.nlm.nih.gov/pmc/articles/PMC3059657 http://www.ncbi.nlm.nih.gov/pubmed/21423438 https://doi.org/10.3389/fpsyt.2010.00127 en eng Frontiers Research Foundation http://www.ncbi.nlm.nih.gov/pmc/articles/PMC3059657 http://www.ncbi.nlm.nih.gov/pubmed/21423438 http://dx.doi.org/10.3389/fpsyt.2010.00127 Copyright © 2010 Slavtchova-Bojkova, González and Martìnez. http://www.frontiersin.org/licenseagreement This is an open-access article subject to an exclusive license agreement between the authors and the Frontiers Research Foundation, which permits unrestricted use, distribution, and reproduction in any medium, provided the original authors and source are credited. Psychiatry Text 2010 ftpubmed https://doi.org/10.3389/fpsyt.2010.00127 2013-09-03T12:21:46Z The purpose of this paper is to review the recent results of the authors in the area of infectious disease modeling by means of branching stochastic processes. This is a new approach involving age-dependent branching models, which turned out to be more appropriate and flexible for describing the spread of an infection in a given population, than discrete time ones. Concretely, Bellman–Harris and Sevast'yanov's branching processes are investigated. It is justified that the proposed models are proper candidates as models of infectious diseases with incubation period like measles, mumps, avian flu, etc. It is worth to notice that in general the developed methodology is applicable to the diseases that follow the so-called SIR (susceptible–infected–removed) scheme in terms of epidemiological models. Two policies of extra-vaccination level are proposed and compared on the ground of simulation examples. Text Avian flu PubMed Central (PMC) Frontiers in Psychiatry 1 |
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Psychiatry |
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Psychiatry Slavtchova-Bojkova, Maroussia N. González, Miguel Martìnez, Rodrigo Age-Dependent Branching Processes for Surveillance of Vaccine-Preventable Diseases with Incubation Period |
topic_facet |
Psychiatry |
description |
The purpose of this paper is to review the recent results of the authors in the area of infectious disease modeling by means of branching stochastic processes. This is a new approach involving age-dependent branching models, which turned out to be more appropriate and flexible for describing the spread of an infection in a given population, than discrete time ones. Concretely, Bellman–Harris and Sevast'yanov's branching processes are investigated. It is justified that the proposed models are proper candidates as models of infectious diseases with incubation period like measles, mumps, avian flu, etc. It is worth to notice that in general the developed methodology is applicable to the diseases that follow the so-called SIR (susceptible–infected–removed) scheme in terms of epidemiological models. Two policies of extra-vaccination level are proposed and compared on the ground of simulation examples. |
format |
Text |
author |
Slavtchova-Bojkova, Maroussia N. González, Miguel Martìnez, Rodrigo |
author_facet |
Slavtchova-Bojkova, Maroussia N. González, Miguel Martìnez, Rodrigo |
author_sort |
Slavtchova-Bojkova, Maroussia N. |
title |
Age-Dependent Branching Processes for Surveillance of Vaccine-Preventable Diseases with Incubation Period |
title_short |
Age-Dependent Branching Processes for Surveillance of Vaccine-Preventable Diseases with Incubation Period |
title_full |
Age-Dependent Branching Processes for Surveillance of Vaccine-Preventable Diseases with Incubation Period |
title_fullStr |
Age-Dependent Branching Processes for Surveillance of Vaccine-Preventable Diseases with Incubation Period |
title_full_unstemmed |
Age-Dependent Branching Processes for Surveillance of Vaccine-Preventable Diseases with Incubation Period |
title_sort |
age-dependent branching processes for surveillance of vaccine-preventable diseases with incubation period |
publisher |
Frontiers Research Foundation |
publishDate |
2010 |
url |
http://www.ncbi.nlm.nih.gov/pmc/articles/PMC3059657 http://www.ncbi.nlm.nih.gov/pubmed/21423438 https://doi.org/10.3389/fpsyt.2010.00127 |
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Avian flu |
genre_facet |
Avian flu |
op_relation |
http://www.ncbi.nlm.nih.gov/pmc/articles/PMC3059657 http://www.ncbi.nlm.nih.gov/pubmed/21423438 http://dx.doi.org/10.3389/fpsyt.2010.00127 |
op_rights |
Copyright © 2010 Slavtchova-Bojkova, González and Martìnez. http://www.frontiersin.org/licenseagreement This is an open-access article subject to an exclusive license agreement between the authors and the Frontiers Research Foundation, which permits unrestricted use, distribution, and reproduction in any medium, provided the original authors and source are credited. |
op_doi |
https://doi.org/10.3389/fpsyt.2010.00127 |
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Frontiers in Psychiatry |
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