11 citations · 20 across the 7 of their papers we have counts for
8 papers
Bistability and complex bifurcation diagrams generated by waning and boosting of immunity
Francesca Scarabel, Mónika Polner, Daniel Wylde +2
We investigate an epidemiological model that incorporates waning of immunity at the individual level and boosting of the immune system upon re-exposure to the pathogen. When immuni…
A mechanistic model to assess the effectiveness of test-trace-isolate-and-quarantine under limited capacities
Julian Heidecke, Jan Fuhrmann, Maria Vittoria Barbarossa
Diagnostic testing followed by isolation of identified cases with subsequent tracing and quarantine of close contacts - often referred to as test-trace-isolate-and-quarantine (TTIQ…
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…
A mathematical view on head lice infestations
Noemi Castelletti, Maria Vittoria Barbarossa
Commonly known as head lice, Pediculus humanus capitis are human ectoparasites which cause infestations in children worldwide. Understanding the life cycle of head lice is an impor…
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…
Mathematical models for vaccination, waning immunity and immune system boosting: a general framework
Maria Vittoria Barbarossa, Gergely Röst
When the body gets infected by a pathogen or receives a vaccine dose, the immune system develops pathogen-specific immunity. Induced immunity decays in time and years after recover…
Immuno-epidemiology of a population structured by immune status: a mathematical study of waning immunity and immune system boosting
Maria Vittoria Barbarossa, Gergely Röst
When the body gets infected by a pathogen the immune system develops pathogen-specific immunity. Induced immunity decays in time and years after recovery the host might become susc…
Predator-Prey Interactions, Age Structures and Delay Equations
Marcel Mohr, Maria Vittoria Barbarossa, Christina Kuttler
A general framework for age-structured predator-prey systems is introduced. Individuals are distinguished into two classes, juveniles and adults, and several possible interactions…