Existence of periodic solutions for seasonal epidemic models with quarantine

Abstract In this work, we establish the existence of periodic orbits for a seasonal saturated epidemiological model of a population consisting of susceptible, infectious and quarantined individuals (an SIQS model). To do so, we use Leray-Schauder degree theory. We also provide numerical examples of...

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Published inRevista integración, temas de matematicas Vol. 36; no. 1; pp. 37 - 47
Main Authors Guerrero-Flores, Shaday, Osuna, Osvaldo, Villavicencio-Pulido, Geiser
Format Journal Article
LanguagePortuguese
English
Spanish
Published Universidad Industrial de Santander 01.07.2018
Subjects
Leray-Schauder degree
MATHEMATICS, APPLIED
periodic orbits
reproductive number
SIQS models
SIQS models
periodic orbits
número reproductivo básico
Grado de Leray-Schauder
órbitas periódicas
Leray-Schauder degree
reproductive number
modelos SIQS
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Summary:Abstract In this work, we establish the existence of periodic orbits for a seasonal saturated epidemiological model of a population consisting of susceptible, infectious and quarantined individuals (an SIQS model). To do so, we use Leray-Schauder degree theory. We also provide numerical examples of these solutions. MSC2010: 37J45, 34C25, 92D30, 34D23.
ISSN:0120-419X
2145-8472
DOI:10.18273/revint.v36n1-2018003