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 these solutions.

Keywords

• Leray-Schauder degree
• SIQS models
• periodic orbits
• reproductive number