Assessing the Impact of Prophylactic Vaccines on HPV Prevalence

Detalhes bibliográficos
Autor(a) principal: Azevedo, F.
Data de Publicação: 2019
Outros Autores: Esteva, L., Ferreira, C.p. [UNESP]
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.5540/tema.2019.020.02.0305
http://hdl.handle.net/11449/212210
Resumo: A mathematical model considering female and male individuals is proposed to evaluate vaccination strategies applied to control of HPV transmission in human population. The basic reproductive number of the disease, R 0 is given by the geometric mean of the basic reproductive number of female and male populations. The model has a globally asymptotically stable disease-free equilibrium whenever R0<1. Furthermore, it has an unique endemic state when R 0 exceeds unity which is globally asymptotically stable. Numerical simulations were done to compare several different vaccination schedules. The results showed that the vaccination strategies that do not include vaccination of men can only control the disease if more than 90% of women are vaccinated. The sensitivity analysis indicated that the relevant parameters to control HPV transmission, in order of importance, are vaccine efficacy times the fraction of population that is vaccinated, disease recovery-rate, and disease transmission rate. Therefore, health politics that promoting the increase of vaccine coverage, and screening for the disease in both population can improve disease control.
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spelling Assessing the Impact of Prophylactic Vaccines on HPV Prevalencesensitivity analysisbasic reproductive numberordinary differential equationanálise de sensibilidadenúmero reprodutivo básicoequações diferencias ordináriasA mathematical model considering female and male individuals is proposed to evaluate vaccination strategies applied to control of HPV transmission in human population. The basic reproductive number of the disease, R 0 is given by the geometric mean of the basic reproductive number of female and male populations. The model has a globally asymptotically stable disease-free equilibrium whenever R0<1. Furthermore, it has an unique endemic state when R 0 exceeds unity which is globally asymptotically stable. Numerical simulations were done to compare several different vaccination schedules. The results showed that the vaccination strategies that do not include vaccination of men can only control the disease if more than 90% of women are vaccinated. The sensitivity analysis indicated that the relevant parameters to control HPV transmission, in order of importance, are vaccine efficacy times the fraction of population that is vaccinated, disease recovery-rate, and disease transmission rate. Therefore, health politics that promoting the increase of vaccine coverage, and screening for the disease in both population can improve disease control.Um modelo matemático á proposto para avaliar as estratégias de controle da transmissão do HPV na população humana (homens e mulheres). O número reprodutivo básico da doença, R 0, é dado pela média geométrica do número reprodutivo básico obtido nas populações femininas e masculinas. O modelo tem um equilíbrio livre da doença globalmente assintoticamente estável sempre que R0<1. Além disso, tem um estado endêmico único quando R0>1 que é globalmente assintoticamente estável. Simulações numéricas foram feitas para comparar vários esquemas de vacinação diferentes. Os resultados mostraram que as estratégias de vacinação que não incluem a vacinação de homens controlam a transmissão da doença se mais de 90 % das mulheres forem vacinadas. A análise de sensibilidade indicou que os parâmetros relevantes para controlar a transmissão do HPV, por ordem de importância, são a eficácia da vacina vezes a fração da população vacinada, a taxa de recuperação da doença e a taxa de transmissão da doença. Portanto, políticas de saúde que promovam o aumento da cobertura vacinal e a detecção da doença em ambas as populações podem melhorar o controle da doença.Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)PAPIIT-UNAMUNIFESSPA, Faculdade de Computação e Engenharia ElétricaUNAM, Facultad de CienciasSão Paulo State University, Institute of BiosciencesSão Paulo State University, Institute of BiosciencesFAPESP: 16/23738-3PAPIIT-UNAM: IN-112713Sociedade Brasileira de Matemática Aplicada e ComputacionalUNIFESSPAUNAMUniversidade Estadual Paulista (Unesp)Azevedo, F.Esteva, L.Ferreira, C.p. [UNESP]2021-07-14T10:36:20Z2021-07-14T10:36:20Z2019-09-16info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article305-321application/pdfhttp://dx.doi.org/10.5540/tema.2019.020.02.0305TEMA (São Carlos). Sociedade Brasileira de Matemática Aplicada e Computacional, v. 20, n. 2, p. 305-321, 2019.1677-19662179-8451http://hdl.handle.net/11449/21221010.5540/tema.2019.020.02.0305S2179-84512019000200305S2179-84512019000200305.pdf20527496982046170000-0002-9404-6098SciELOreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengTEMA (São Carlos)info:eu-repo/semantics/openAccess2023-12-12T06:17:07Zoai:repositorio.unesp.br:11449/212210Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462023-12-12T06:17:07Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Assessing the Impact of Prophylactic Vaccines on HPV Prevalence
title Assessing the Impact of Prophylactic Vaccines on HPV Prevalence
spellingShingle Assessing the Impact of Prophylactic Vaccines on HPV Prevalence
Azevedo, F.
sensitivity analysis
basic reproductive number
ordinary differential equation
análise de sensibilidade
número reprodutivo básico
equações diferencias ordinárias
title_short Assessing the Impact of Prophylactic Vaccines on HPV Prevalence
title_full Assessing the Impact of Prophylactic Vaccines on HPV Prevalence
title_fullStr Assessing the Impact of Prophylactic Vaccines on HPV Prevalence
title_full_unstemmed Assessing the Impact of Prophylactic Vaccines on HPV Prevalence
title_sort Assessing the Impact of Prophylactic Vaccines on HPV Prevalence
author Azevedo, F.
author_facet Azevedo, F.
Esteva, L.
Ferreira, C.p. [UNESP]
author_role author
author2 Esteva, L.
Ferreira, C.p. [UNESP]
author2_role author
author
dc.contributor.none.fl_str_mv UNIFESSPA
UNAM
Universidade Estadual Paulista (Unesp)
dc.contributor.author.fl_str_mv Azevedo, F.
Esteva, L.
Ferreira, C.p. [UNESP]
dc.subject.por.fl_str_mv sensitivity analysis
basic reproductive number
ordinary differential equation
análise de sensibilidade
número reprodutivo básico
equações diferencias ordinárias
topic sensitivity analysis
basic reproductive number
ordinary differential equation
análise de sensibilidade
número reprodutivo básico
equações diferencias ordinárias
description A mathematical model considering female and male individuals is proposed to evaluate vaccination strategies applied to control of HPV transmission in human population. The basic reproductive number of the disease, R 0 is given by the geometric mean of the basic reproductive number of female and male populations. The model has a globally asymptotically stable disease-free equilibrium whenever R0<1. Furthermore, it has an unique endemic state when R 0 exceeds unity which is globally asymptotically stable. Numerical simulations were done to compare several different vaccination schedules. The results showed that the vaccination strategies that do not include vaccination of men can only control the disease if more than 90% of women are vaccinated. The sensitivity analysis indicated that the relevant parameters to control HPV transmission, in order of importance, are vaccine efficacy times the fraction of population that is vaccinated, disease recovery-rate, and disease transmission rate. Therefore, health politics that promoting the increase of vaccine coverage, and screening for the disease in both population can improve disease control.
publishDate 2019
dc.date.none.fl_str_mv 2019-09-16
2021-07-14T10:36:20Z
2021-07-14T10:36:20Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://dx.doi.org/10.5540/tema.2019.020.02.0305
TEMA (São Carlos). Sociedade Brasileira de Matemática Aplicada e Computacional, v. 20, n. 2, p. 305-321, 2019.
1677-1966
2179-8451
http://hdl.handle.net/11449/212210
10.5540/tema.2019.020.02.0305
S2179-84512019000200305
S2179-84512019000200305.pdf
2052749698204617
0000-0002-9404-6098
url http://dx.doi.org/10.5540/tema.2019.020.02.0305
http://hdl.handle.net/11449/212210
identifier_str_mv TEMA (São Carlos). Sociedade Brasileira de Matemática Aplicada e Computacional, v. 20, n. 2, p. 305-321, 2019.
1677-1966
2179-8451
10.5540/tema.2019.020.02.0305
S2179-84512019000200305
S2179-84512019000200305.pdf
2052749698204617
0000-0002-9404-6098
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv TEMA (São Carlos)
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 305-321
application/pdf
dc.publisher.none.fl_str_mv Sociedade Brasileira de Matemática Aplicada e Computacional
publisher.none.fl_str_mv Sociedade Brasileira de Matemática Aplicada e Computacional
dc.source.none.fl_str_mv SciELO
reponame:Repositório Institucional da UNESP
instname:Universidade Estadual Paulista (UNESP)
instacron:UNESP
instname_str Universidade Estadual Paulista (UNESP)
instacron_str UNESP
institution UNESP
reponame_str Repositório Institucional da UNESP
collection Repositório Institucional da UNESP
repository.name.fl_str_mv Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)
repository.mail.fl_str_mv
_version_ 1799965255706607616

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