Seasonal Treatment of an Infectious Disease is a Social Driver of Sustained Oscillations in the Disease incidence
DOI:
https://doi.org/10.5540/tcam.2021.022.02.00279Keywords:
Seasonal treatment rate, periodic orbit, Leray-Schauder degree, SIRS models, reproduction numberAbstract
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.References
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