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 modelling 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 sp...
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ftdoajarticles:oai:doaj.org/article:9bd37af420ee471892df127d2fa80851 2023-05-15T15:34:24+02:00 Age-dependent branching processes for surveillance of vaccine-preventable diseases with incubation period Marusia N Bojkova Miguel Gonzalez Rodrigo Martinez 2010-10-01T00:00:00Z https://doi.org/10.3389/fpsyt.2010.00127 https://doaj.org/article/9bd37af420ee471892df127d2fa80851 EN eng Frontiers Media S.A. http://journal.frontiersin.org/Journal/10.3389/fpsyt.2010.00127/full https://doaj.org/toc/1664-0640 1664-0640 doi:10.3389/fpsyt.2010.00127 https://doaj.org/article/9bd37af420ee471892df127d2fa80851 Frontiers in Psychiatry, Vol 1 (2010) age-dependent branching processes Monte-Carlo method time to extinction vaccination policies Psychiatry RC435-571 article 2010 ftdoajarticles https://doi.org/10.3389/fpsyt.2010.00127 2022-12-31T10:05:03Z The purpose of this paper is to review the recent results of the authors in the area of infectious disease modelling 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. Article in Journal/Newspaper Avian flu Directory of Open Access Journals: DOAJ Articles Frontiers in Psychiatry 1 |
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Directory of Open Access Journals: DOAJ Articles |
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ftdoajarticles |
language |
English |
topic |
age-dependent branching processes Monte-Carlo method time to extinction vaccination policies Psychiatry RC435-571 |
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age-dependent branching processes Monte-Carlo method time to extinction vaccination policies Psychiatry RC435-571 Marusia N Bojkova Miguel Gonzalez Rodrigo Martinez Age-dependent branching processes for surveillance of vaccine-preventable diseases with incubation period |
topic_facet |
age-dependent branching processes Monte-Carlo method time to extinction vaccination policies Psychiatry RC435-571 |
description |
The purpose of this paper is to review the recent results of the authors in the area of infectious disease modelling 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 |
Article in Journal/Newspaper |
author |
Marusia N Bojkova Miguel Gonzalez Rodrigo Martinez |
author_facet |
Marusia N Bojkova Miguel Gonzalez Rodrigo Martinez |
author_sort |
Marusia N Bojkova |
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 Media S.A. |
publishDate |
2010 |
url |
https://doi.org/10.3389/fpsyt.2010.00127 https://doaj.org/article/9bd37af420ee471892df127d2fa80851 |
genre |
Avian flu |
genre_facet |
Avian flu |
op_source |
Frontiers in Psychiatry, Vol 1 (2010) |
op_relation |
http://journal.frontiersin.org/Journal/10.3389/fpsyt.2010.00127/full https://doaj.org/toc/1664-0640 1664-0640 doi:10.3389/fpsyt.2010.00127 https://doaj.org/article/9bd37af420ee471892df127d2fa80851 |
op_doi |
https://doi.org/10.3389/fpsyt.2010.00127 |
container_title |
Frontiers in Psychiatry |
container_volume |
1 |
_version_ |
1766364813831700480 |