10 citations · 22 across the 12 of their papers we have counts for
13 papers
Behavior-induced oscillations in epidemic outbreaks with distributed memory: beyond the linear chain trick using numerical methods
Alessia andò, Simone De Reggi, Francesca Scarabel +2
We considered a model for an infectious disease outbreak, when the depletion of susceptible individuals is negligible, and assumed that individuals adapt their behavior according t…
New functionalities in MatCont: delay equations and Lyapunov exponents
Davide Liessi, Enrico Santi, Rossana Vermiglio +3
MatCont is a powerful toolbox for numerical bifurcation analysis focussing on smooth ODEs. A user can study equilibria, periodic and connecting orbits, and their stability and bifu…
Exponential Runge-Kutta methods for delay equations in the sun-star abstract framework
Alessia Ando', Rossana Vermiglio
Exponential Runge-Kutta methods for semilinear ordinary differential equations can be extended to abstract differential equations, defined on Banach spaces. Thanks to the sun-star…
On the convergence of the pseudospectral approximation of reproduction numbers for age-structured models
Simone De Reggi, Francesca Scarabel, Rossana Vermiglio
We rigorously investigate the convergence of a new numerical method, recently proposed by the authors, to approximate the reproduction numbers of a large class of age-structured po…
Approximating reproduction numbers: a general numerical method for age-structured models
Simone De Reggi, Francesca Scarabel, Rossana Vermiglio
In this paper, we introduce a general numerical method to approximate the reproduction numbers of a large class of multi-group, age-structured, population models with a finite age…
Equations with infinite delay: pseudospectral discretization for numerical stability and bifurcation in an abstract framework
Francesca Scarabel, Rossana Vermiglio
We consider nonlinear delay differential and renewal equations with infinite delay. We extend the work of Gyllenberg et al, Appl. Math. Comput. (2018) by introducing a unifying abs…
A numerical method for the stability analysis of linear age-structured models with nonlocal diffusion
Dimitri Breda, Simone De Reggi, Rossana Vermiglio
We numerically address the stability analysis of linear age-structured population models with nonlocal diffusion, which arise naturally in describing dynamics of infectious disease…
A practical guide to piecewise pseudospectral collocation for Floquet multipliers of delay equations in MATLAB
Dimitri Breda, Davide Liessi, Rossana Vermiglio
In recent years we provided numerical methods based on pseudospectral collocation for computing the Floquet multipliers of different types of delay equations, with the goal of stud…
Piecewise discretization of monodromy operators of delay equations on adapted meshes
Dimitri Breda, Davide Liessi, Rossana Vermiglio
Periodic solutions of delay equations are usually approximated as continuous piecewise polynomials on meshes adapted to the solutions' profile. In practical computations this affec…
Bivariate collocation for computing in epidemic models with two structures
Dimitri Breda, Simone De Reggi, Francesca Scarabel +2
Structured epidemic models can be formulated as first-order hyperbolic PDEs, where the "spatial" variables represent individual traits, called structures. For models with two struc…
Numerical bifurcation analysis of renewal equations via pseudospectral approximation
Francesca Scarabel, Odo Diekmann, Rossana Vermiglio
We propose an approximation of nonlinear renewal equations by means of ordinary differential equations. We consider the integrated state, which is absolutely continuous and satisfi…
Efficient numerical computation of the basic reproduction number for structured populations
Dimitri Breda, Francesco Florian, Jordi Ripoll +1
As widely known, the basic reproduction number plays a key role in weighing birth/infection and death/recovery processes in several models of population dynamics. In this general s…
Semigroup discretization and spectral approximation for linear nonautonomous delay differential equations
Dimitri Breda, Stefano Maset, Rossana Vermiglio
This paper deals with the approximation of the spectrum of linear and nonautonomous delay differential equations through the reduction of the relevant evolution semigroup from infi…