11 citations · 49 across the 23 of their papers we have counts for
24 papers
A weak order 2 Runge-Kutta method for Itô stochastic delay differential equations
Alessia andò, Dimitri Breda, Faraz William
We present a Runge-Kutta method of weak order 2 for the numerical time integration of stochastic delay differential equations. This scheme extends the class of second order Runge-K…
Hopf bifurcation and periodic solutions in a sustainable supply chain defined by a planar system of ordinary differential equations
Alessia andò, Dimitri Breda
We analyze the stability of the equilibria and bifurcations of a planar system of ordinary differential equations describing the product-resource interaction in a sustainable suppl…
Exploring Memory Effects: Sparse Identification in Vector-Borne Diseases
Dimitri Breda, Muhammad Tanveer, Jianhong Wu +1
Predicting the human burden of vector-borne diseases from limited surveillance data remains a major challenge, particularly in the presence of nonlinear transmission dynamics and d…
Approximating evolution operators of linear delay equations: a general framework for the convergence analysis
Alessia andò, Giusy Bosco, Dimitri Breda +1
We consider the problem of discretizing evolution operators of linear delay equations with the aim of approximating their spectra, which is useful in investigating the stability pr…
Sparse identification of delay equations with distributed memory
Dimitri Breda, Muhammad Tanveer, Jianhong Wu
We present a novel extension of the SINDy framework to delay differential equations with {\it distributed delays} and {\it renewal equations}, where typically the dependence from t…
Data-driven Methods for Delay Differential Equations
Dimitri Breda, Xunbi A. Ji, Gábor Orosz +1
Data-driven methodologies are nowadays ubiquitous. Their rapid development and spread have led to applications even beyond the traditional fields of science. As far as dynamical sy…
On the numerical computation of in periodic environments
Dimitri Breda, Simone De Reggi, Jordi Ripoll
We propose a novel approach to approximate the basic reproduction number as spectral radius of the Next-Generation Operator in time-periodic population models by characterizi…
Sparse Identification of Nonlinear Dynamics for Stochastic Delay Differential Equations
Dimitri Breda, Dajana Conte, Raffaele D'Ambrosio +2
A general framework for recovering drift and diffusion dynamics from sampled trajectories is presented for the first time for stochastic delay differential equations. The core reli…
Sparse identification of time delay systems via pseudospectral collocation
Enrico Bozzo, Dimitri Breda, Muhammad Tanveer
We present a pragmatic approach to the sparse identification of nonlinear dynamics for systems with discrete delays. It relies on approximating the underlying delay model with a sy…
Data-driven Discovery of Delay Differential Equations with Discrete Delays
Alessandro Pecile, Nicola Demo, Marco Tezzele +2
The Sparse Identification of Nonlinear Dynamics (SINDy) framework is a robust method for identifying governing equations, successfully applied to ordinary, partial, and stochastic…
Lyapunov exponents of renewal equations: numerical approximation and convergence analysis
Dimitri Breda, Davide Liessi
We propose a numerical method for computing the Lyapunov exponents of renewal equations (delay equations of Volterra type), consisting first in applying a discrete QR technique to…
Viability and control of a delayed SIR epidemic with an ICU state constraint
Dimitri Breda, Matteo Della Rossa, Lorenzo Freddi
This paper studies viability and control synthesis for a delayed SIR epidemic. The model integrates a constant delay representing an incubation/latency time. The control inputs mod…
A practical approach to computing Lyapunov exponents of renewal and delay equations
Dimitri Breda, Davide Liessi
We propose a method for computing the Lyapunov exponents of renewal equations (delay equations of Volterra type) and of coupled systems of renewal and delay differential equations.…
Piecewise orthogonal collocation for computing periodic solutions of coupled delay equations
Alessia andò, Dimitri Breda
We extend the piecewise orthogonal collocation method to computing periodic solutions of coupled renewal and delay differential equations. Through a rigorous error analysis, we pro…
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…
Spectra of evolution operators of a class of neutral renewal equations: theoretical and numerical aspects
Dimitri Breda, Davide Liessi, Sjoerd M. Verduyn Lunel
In this work we begin a theoretical and numerical investigation on the spectra of evolution operators of neutral renewal equations, with the stability of equilibria and periodic or…
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…
Piecewise orthogonal collocation for computing periodic solutions of renewal equations
Alessia Ando', Dimitri Breda
We extend the use of piecewise orthogonal collocation to computing periodic solutions of renewal equations, which are particularly important in modeling population dynamics. We pro…
Convergence analysis of collocation methods for computing periodic solutions of retarded functional differential equations
Alessia Andò, Dimitri Breda
We analyze the convergence of piecewise collocation methods for computing periodic solutions of general retarded functional differential equations under the abstract framework rece…
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…
Existence, multiplicity and stability of endemic states for an age-structured S-I epidemic model
D. Breda, D. Visetti
We study an S--I type epidemic model in an age-structured population, with mortality due to the disease. A threshold quantity is found that controls the stability of the disease-fr…