Abstract

GUERRERO-FLORES, Shaday; OSUNA, Osvaldo  and  VILLAVICENCIO-PULIDO, Geiser. Existence of periodic solutions for seasonal epidemic models with quarantineExistencia de soluciones periódicas para modelos epidemiológicos estacionales con cuarentena. Integración - UIS [online]. 2018, vol.36, n.1, pp.37-47. ISSN 0120-419X.  https://doi.org/10.18273/revint.v36n1-2018003.

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.

Keywords : Leray-Schauder degree; SIQS models; periodic orbits; reproductive number.

        · abstract in Spanish     · text in English     · English ( pdf )