Open AccessSeasonal Treatment of an Infectious Disease is a Social Driver of Sustained Oscillations in the Disease incidence
Author(s) -
O Osuna,
José Geiser Villavicencio Pulido
Publication year - 2021
Publication title -
trends in computational and applied mathematics
Language(s) - English
Resource type - Journals
ISSN - 2676-0029
DOI - 10.5540/tcam.2021.022.02.00279
Subject(s) - incidence (geometry) , disease , epidemic model , periodic orbits , medicine , mathematics , mathematical analysis , environmental health , geometry , population
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.