activity
20202024
most citedGlobal stability of SAIRS epidemic models

63 citations · 135 across the 8 of their papers we have counts for

collaborators
Showing math.DSShow all

6 papers · 1 filter

math.DS2024

A minimal model for multigroup adaptive SIS epidemics

Massimo A. Achterberg, Mattia Sensi, Sara Sottile

We propose a generalization of the adaptive N-Intertwined Mean-Field Approximation (aNIMFA) model studied in Achterberg and Sensi (2023) to a heterogeneous network of communities.…

math.DS2023★ 9 cited

A geometric analysis of the SIRS compartmental model with fast information and misinformation spreading

Iulia Martina Bulai, Mattia Sensi, Sara Sottile

We propose a novel slow-fast SIRS compartmental model with demography, by coupling a slow disease spreading model and a fast information and misinformation spreading model. Beside…

math.DS2023★ 17 cited

A geometric analysis of the SIRS model with secondary infections

Panagiotis Kaklamanos, Andrea Pugliese, Mattia Sensi +1

We propose a compartmental model for a disease with temporary immunity and secondary infections. From our assumptions on the parameters involved in the model, the system naturally…

math.DS2023★ 23 cited

A survey on Lyapunov functions for epidemic compartmental models

Nicolò Cangiotti, Marco Capolli, Mattia Sensi +1

In this survey, we propose an overview on Lyapunov functions for a variety of compartmental models in epidemiology. We exhibit the most widely employed functions, together with a c…

math.DS2022★ 14 cited

Global stability of multi-group SAIRS epidemic models

Stefania Ottaviano, Mattia Sensi, Sara Sottile

We study a multi-group SAIRS-type epidemic model with vaccination. The role of asymptomatic and symptomatic infectious individuals is explicitly considered in the transmission patt…

math.DS2021★ 63 cited

Global stability of SAIRS epidemic models

Stefania Ottaviano, Mattia Sensi, Sara Sottile

We study an SAIRS-type epidemic model with vaccination, where the role of asymptomatic and symptomatic infectious individuals are explicitly considered in the transmission patterns…