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math.DS2020
When ideas go viral -- complex bifurcations in a two-stage transmission model
Julian Heidecke, Maria Vittoria Barbarossa
We consider the qualitative behavior of a mathematical model for transmission dynamics with two nonlinear stages of contagion. The proposed model is inspired by phenomena occurring…
math.DS2016
Stability switches induced by immune system boosting in an SIRS model with discrete and distributed delays
Maria Vittoria Barbarossa, Monika Polner, Gergely Röst
We consider an epidemiological model that includes waning and boosting of immunity. Assuming that repeated exposure to the pathogen fully restores immunity, we derive an SIRS-type…