Asymptotic behaviour of cooperative systems: an application to malaria control
Autor(a) principal: | |
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Data de Publicação: | 2020 |
Outros Autores: | , |
Tipo de documento: | Artigo de conferência |
Idioma: | eng |
Título da fonte: | Repositório Institucional do FGV (FGV Repositório Digital) |
Texto Completo: | https://hdl.handle.net/10438/31112 |
Resumo: | In this work we propose a model that represents the relation between fish ponds, the mosquito population and the transmission of malaria. It has been observed that in the Amazonic region of Acre, in the North of Brazil, fish farming is correlated to the transmission of malaria when carried out in artificial ponds that become breeding sites. Evidence has been found indicating that cleaning the vegetation from the edges of the crop tanks helps to control the size of the mosquito population. We use our model to determine the effective contribution of the fish tanks to the epidemic. The model consists of a nonlinear system of ordinary differential equations with jumps at the cleaning time, which act as {\em impulsive controls}. We study the asymptotic behaviour of the system in function of the intensity and periodicity of the cleaning, and the value of the parameters. In particular, we state sufficient conditions under which the mosquito population is exterminated or prevails, and under which the malaria is eradicated or becomes endemic. |
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Antunes, Felipe José PintoSoledad Aronna, MariaCodeço, Claudia TorresDemais unidades::RPCAEscolas::EMAp2021-09-21T18:08:36Z2021-09-21T18:08:36Z2020-10https://hdl.handle.net/10438/31112In this work we propose a model that represents the relation between fish ponds, the mosquito population and the transmission of malaria. It has been observed that in the Amazonic region of Acre, in the North of Brazil, fish farming is correlated to the transmission of malaria when carried out in artificial ponds that become breeding sites. Evidence has been found indicating that cleaning the vegetation from the edges of the crop tanks helps to control the size of the mosquito population. We use our model to determine the effective contribution of the fish tanks to the epidemic. The model consists of a nonlinear system of ordinary differential equations with jumps at the cleaning time, which act as {\em impulsive controls}. We study the asymptotic behaviour of the system in function of the intensity and periodicity of the cleaning, and the value of the parameters. In particular, we state sufficient conditions under which the mosquito population is exterminated or prevails, and under which the malaria is eradicated or becomes endemic.engPopulations and EvolutionDynamical SystemsMaláriaEpidemiologiaSistemas dinâmicosMatemáticaMaláriaEpidemiologiaDoenças - Modelos matemáticosMosquito - ControleAsymptotic behaviour of cooperative systems: an application to malaria controlinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/conferenceObjectreponame:Repositório Institucional do FGV (FGV Repositório Digital)instname:Fundação Getulio Vargas (FGV)instacron:FGVinfo:eu-repo/semantics/openAccessModelagem, Análise e Estimativa da Contribuiçao dos Tanques de Piscicultura na População do Mosquito Anopheles e o Impacto na Transmissão da Malária no Alto Juruá, AcreProjetos de Pesquisa 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dc.title.por.fl_str_mv |
Asymptotic behaviour of cooperative systems: an application to malaria control |
title |
Asymptotic behaviour of cooperative systems: an application to malaria control |
spellingShingle |
Asymptotic behaviour of cooperative systems: an application to malaria control Antunes, Felipe José Pinto Populations and Evolution Dynamical Systems Malária Epidemiologia Sistemas dinâmicos Matemática Malária Epidemiologia Doenças - Modelos matemáticos Mosquito - Controle |
title_short |
Asymptotic behaviour of cooperative systems: an application to malaria control |
title_full |
Asymptotic behaviour of cooperative systems: an application to malaria control |
title_fullStr |
Asymptotic behaviour of cooperative systems: an application to malaria control |
title_full_unstemmed |
Asymptotic behaviour of cooperative systems: an application to malaria control |
title_sort |
Asymptotic behaviour of cooperative systems: an application to malaria control |
author |
Antunes, Felipe José Pinto |
author_facet |
Antunes, Felipe José Pinto Soledad Aronna, Maria Codeço, Claudia Torres |
author_role |
author |
author2 |
Soledad Aronna, Maria Codeço, Claudia Torres |
author2_role |
author author |
dc.contributor.unidadefgv.por.fl_str_mv |
Demais unidades::RPCA |
dc.contributor.unidadefgv.none.fl_str_mv |
Escolas::EMAp |
dc.contributor.author.fl_str_mv |
Antunes, Felipe José Pinto Soledad Aronna, Maria Codeço, Claudia Torres |
dc.subject.eng.fl_str_mv |
Populations and Evolution Dynamical Systems |
topic |
Populations and Evolution Dynamical Systems Malária Epidemiologia Sistemas dinâmicos Matemática Malária Epidemiologia Doenças - Modelos matemáticos Mosquito - Controle |
dc.subject.por.fl_str_mv |
Malária Epidemiologia Sistemas dinâmicos |
dc.subject.area.por.fl_str_mv |
Matemática |
dc.subject.bibliodata.por.fl_str_mv |
Malária Epidemiologia Doenças - Modelos matemáticos Mosquito - Controle |
description |
In this work we propose a model that represents the relation between fish ponds, the mosquito population and the transmission of malaria. It has been observed that in the Amazonic region of Acre, in the North of Brazil, fish farming is correlated to the transmission of malaria when carried out in artificial ponds that become breeding sites. Evidence has been found indicating that cleaning the vegetation from the edges of the crop tanks helps to control the size of the mosquito population. We use our model to determine the effective contribution of the fish tanks to the epidemic. The model consists of a nonlinear system of ordinary differential equations with jumps at the cleaning time, which act as {\em impulsive controls}. We study the asymptotic behaviour of the system in function of the intensity and periodicity of the cleaning, and the value of the parameters. In particular, we state sufficient conditions under which the mosquito population is exterminated or prevails, and under which the malaria is eradicated or becomes endemic. |
publishDate |
2020 |
dc.date.issued.fl_str_mv |
2020-10 |
dc.date.accessioned.fl_str_mv |
2021-09-21T18:08:36Z |
dc.date.available.fl_str_mv |
2021-09-21T18:08:36Z |
dc.type.status.fl_str_mv |
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info:eu-repo/semantics/conferenceObject |
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conferenceObject |
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https://hdl.handle.net/10438/31112 |
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https://hdl.handle.net/10438/31112 |
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eng |
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eng |
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info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
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