66 citations · 270 across the 30 of their papers we have counts for
30 papers
On the optimal control of entry-exit phenomena in planar fast-slow dynamical systems
Jacopo Borsotti, Christian Kuehn, Mattia Sensi
We study a geometric singular perturbation theory (GSPT) approach to optimal control problems involving entry-exit phenomena in planar fast-slow dynamical systems. In contrast to p…
Traveling fronts in a spatial epidemic model with slow loss of immunity
Rossella Della Marca, Gabriele Grifò, Annalisa Iuorio +1
We investigate the emergence of traveling front solutions in a spatial SIRS epidemic model with diffusion acting on the infected population. The model exhibits a natural slow-fast…
Slow-fast dynamics in a planar parasite--host model with an extinction singularity
Jacopo Borsotti, Hildeberto Jardón-Kojakhmetov, Mattia Sensi
We study a slow-fast parasite--host model featuring a singularity at the extinction state. Using techniques from Geometric Singular Perturbation Theory (GSPT), and in particular th…
A model for mosquito-borne epidemic outbreaks with information-dependent protective behaviour
Simone De Reggi, Andrea Pugliese, Mattia Sensi +1
We investigate a model for a mosquito-borne epidemic in which human hosts may adopt protective behaviour against vector bites in response to information on both past and current di…
Exploring Exponential Runge-Kutta Methods: A Survey
Alessia andò, Nicolò Cangiotti, Mattia Sensi
In this survey, we provide an in-depth investigation of exponential Runge-Kutta methods for the numerical integration of initial-value problems. These methods offer a valuable synt…
A geometric analysis of the Bazykin-Berezovskaya predator-prey model with Allee effect in an economic framework
Jacopo Borsotti, Mattia Sensi
We study a fast-slow version of the Bazykin-Berezovskaya predator-prey model with Allee effect evolving on two timescales, through the lenses of Geometric Singular Perturbation The…
Non-Birkhoff periodic orbits in symmetric billiards
Casper Oelen, Bob Rink, Mattia Sensi
We study non-Birkhoff periodic orbits in symmetric convex planar billiards. Our main result provides a quantitative criterion for the existence of such orbits with prescribed minim…
Heterogeneously structured compartmental models of epidemiological systems: from individual-level processes to population-scale dynamics
Emanuele Bernardi, Tommaso Lorenzi, Mattia Sensi +1
We develop a general modelling framework for compartmental epidemiological systems structured by continuous variables which are linked to the levels of expression of compartment-sp…
A refractory density approach to a multi-scale SEIRS epidemic model
Anton Chizhov, Laurent Pujo-Menjouet, Tilo Schwalger +1
We propose a novel multi-scale modeling framework for infectious disease spreading, borrowing ideas and modeling tools from the so-called Refractory Density (RD) approach. We intro…
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.…
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…
A minimal model for adaptive SIS epidemics
Massimo A. Achterberg, Mattia Sensi
The interplay between disease spreading and personal risk perception is of key importance for modelling the spread of infectious diseases. We propose a planar system of ordinary di…
Entry-exit functions in fast-slow systems with intersecting eigenvalues
Panagiotis Kaklamanos, Christian Kuehn, Nikola Popović +1
We study delayed loss of stability in a class of fast-slow systems with two fast variables and one slow one, where the linearisation of the fast vector field along a one-dimensiona…
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…
A Generalization of Lanchester's Model of Warfare
Nicolò Cangiotti, Marco Capolli, Mattia Sensi
The classical Lanchester's model is shortly reviewed and analysed, with particular attention to the critical issues that intrinsically arise from the mathematical formalization of…
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…
How network properties and epidemic parameters influence stochastic SIR dynamics on scale-free random networks
Sara Sottile, Ozan Kahramanoğulları, Mattia Sensi
With the premise that social interactions are described by power-law distributions, we study a SIR stochastic dynamic on a static scale-free random network generated via configurat…