66 citations · 270 across the 30 of their papers we have counts for
8 papers · 1 filter
Delayed loss of stability of periodic travelling waves: insights from the analysis of essential spectra
Lukas Eigentler, Mattia Sensi
Periodic travelling waves (PTW) are a common solution type of partial differential equations. Such models exhibit multistability of PTWs, typically visualised through the Busse bal…
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…
A multigroup approach to delayed prion production
Mostafa Adimy, Abdennasser Chekroun, Laurent Pujo-Menjouet +1
We generalize the model proposed in [Adimy, Babin, Pujo-Menjouet, \emph{SIAM Journal on Applied Dynamical Systems} (2022)] for prion infection to a network of neurons. We do so by…
Transition from time-variant to static networks: timescale separation in NIMFA SIS epidemics
Robin Persoons, Mattia Sensi, Bastian Prasse +1
We extend the N-Intertwined Mean-Field Approximation (NIMFA) for the Susceptible-Infectious-Susceptible (SIS) epidemiological process to time-varying networks. Processes on time-va…
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…
A geometric analysis of the impact of large but finite switching rates on vaccination evolutionary games
Rossella Della Marca, Alberto d'Onofrio, Mattia Sensi +1
In contemporary society, social networks accelerate decision dynamics causing a rapid switch of opinions in a number of fields, including the prevention of infectious diseases by m…
Slow-fast dynamics in a neurotransmitter release model: delayed response to a time-dependent input signal
Mattia Sensi, Mathieu Desroches, Serafim Rodrigues
We propose a generalization of the neurotransmitter release model proposed in \emph{Rodrigues et al. (PNAS, 2016)}. We increase the complexity of the underlying slow-fast system by…
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…