Osillations in seasonal SIR models with saturated treatment

GONZÁLEZ-RAMÍREZ, L. ROCÍO; OSUNA, OSVALDO; VILLAVICENCIO-PULIDO, GEISER

doi:10.18273/revint.v34n2-2016001

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Revista Integración

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Abstract

GONZALEZ-RAMIREZ, L. ROCÍO; OSUNA, OSVALDO and VILLAVICENCIO-PULIDO, GEISER. Osillations in seasonal SIR models with saturated treatment. Integración - UIS [online]. 2016, vol.34, n.2, pp.125-131. ISSN 0120-419X. https://doi.org/10.18273/revint.v34n2-2016001.

Abstract In this work, we give some conditions for the existen e of periodic orbits for a Susceptible-Infectious-Recovered (SIR) model with seasonal saturated incidence functions and saturated treatment rate. We use Leray-Schauder degree theory to prove the existence of periodic orbits.

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

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