Seasonal Treatment of an Infectious Disease is a Social Driver of Sustained Oscillations in the Disease Incidence

Seasonal Treatment of an Infectious Disease is a Social Driver of Sustained Oscillations in the Disease Incidence

ABSTRACT We analyze a seasonal SIR model that assumes a periodic treatment rate. Using the Leray-Schauder degree theory, we prove that model shows periodic solutions. This result shows that sustained oscillations in the incidence of the disease are related to the periodic application of a treatment against the disease. So, we can say that the periodic application of treatment can be considered a seasonal driver of the sustained oscillations.

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Bibliographic Details
Main Authors: OSUNA,O., VILLAVICENCIO-PULIDO,J. G.
Format: Digital revista
Language:English
Published: Sociedade Brasileira de Matemática Aplicada e Computacional - SBMAC 2021
Online Access:http://old.scielo.br/scielo.php?script=sci_arttext&pid=S2676-00292021000200279
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spelling oai:scielo:S2676-002920210002002792021-06-30Seasonal Treatment of an Infectious Disease is a Social Driver of Sustained Oscillations in the Disease IncidenceOSUNA,O.VILLAVICENCIO-PULIDO,J. G. seasonal treatment rate periodic orbit Leray-Schauder degree SIRS models reproduction number ABSTRACT We analyze a seasonal SIR model that assumes a periodic treatment rate. Using the Leray-Schauder degree theory, we prove that model shows periodic solutions. This result shows that sustained oscillations in the incidence of the disease are related to the periodic application of a treatment against the disease. So, we can say that the periodic application of treatment can be considered a seasonal driver of the sustained oscillations.info:eu-repo/semantics/openAccessSociedade Brasileira de Matemática Aplicada e Computacional - SBMACTrends in Computational and Applied Mathematics v.22 n.2 20212021-08-01info:eu-repo/semantics/articletext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S2676-00292021000200279en10.5540/tcam.2021.022.02.00279
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countrycode BR
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libraryname SciELO
language English
format Digital
author OSUNA,O.
VILLAVICENCIO-PULIDO,J. G.
spellingShingle OSUNA,O.
VILLAVICENCIO-PULIDO,J. G.
Seasonal Treatment of an Infectious Disease is a Social Driver of Sustained Oscillations in the Disease Incidence
author_facet OSUNA,O.
VILLAVICENCIO-PULIDO,J. G.
author_sort OSUNA,O.
title Seasonal Treatment of an Infectious Disease is a Social Driver of Sustained Oscillations in the Disease Incidence
title_short Seasonal Treatment of an Infectious Disease is a Social Driver of Sustained Oscillations in the Disease Incidence
title_full Seasonal Treatment of an Infectious Disease is a Social Driver of Sustained Oscillations in the Disease Incidence
title_fullStr Seasonal Treatment of an Infectious Disease is a Social Driver of Sustained Oscillations in the Disease Incidence
title_full_unstemmed Seasonal Treatment of an Infectious Disease is a Social Driver of Sustained Oscillations in the Disease Incidence
title_sort seasonal treatment of an infectious disease is a social driver of sustained oscillations in the disease incidence
description ABSTRACT We analyze a seasonal SIR model that assumes a periodic treatment rate. Using the Leray-Schauder degree theory, we prove that model shows periodic solutions. This result shows that sustained oscillations in the incidence of the disease are related to the periodic application of a treatment against the disease. So, we can say that the periodic application of treatment can be considered a seasonal driver of the sustained oscillations.
publisher Sociedade Brasileira de Matemática Aplicada e Computacional - SBMAC
publishDate 2021
url http://old.scielo.br/scielo.php?script=sci_arttext&pid=S2676-00292021000200279
work_keys_str_mv AT osunao seasonaltreatmentofaninfectiousdiseaseisasocialdriverofsustainedoscillationsinthediseaseincidence
AT villavicenciopulidojg seasonaltreatmentofaninfectiousdiseaseisasocialdriverofsustainedoscillationsinthediseaseincidence
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