Abstract

OSUNA, OSVALDO  and  VILLAVICENCIO-PULIDO, GEISER. The simultaneous application of control interventions can lead to catastrophic epidemic scenarios. Integración - UIS [online]. 2021, vol.39, n.2, pp.177-190.  Epub Apr 18, 2022. ISSN 0120-419X.  https://doi.org/10.18273/revint.v39n2-2021003.

We analyze the evolution of an infectious disease if infectious individuals are treated or isolated. The analysis of the model shows catastrophic scenarios for the population in which bringing R 0 below 1 is not enough to decrease the number of infectious individuals. Finally, we show three scenarios for the behavior of the model solutions in which multiple endemic equilibria exist.

MSC2010: 34C23, 34C40, 34C55, 34C60, 92D30.

Keywords : Backward bifurcation; forward bifurcation; Hopf bifurcation; treatment; isolation.

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