10 citations · 22 across the 10 of their papers we have counts for
11 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…
Size-Structured Population Dynamics
Odo Diekmann, Francesca Scarabel
This chapter focuses on variable maturation delay or, more precisely, on the mathematical description of a size-structured population consuming an unstructured resource. When the r…
Age-Structured Population Dynamics
Odo Diekmann, Francesca Scarabel
This chapter reviews some aspects of the theory of age-structured models of populations with finite maximum age. We formulate both the renewal equation for the birth rate and the p…
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…
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 pseudospectral method for investigating the stability of linear population models with two physiological structures
Alessia Andò, Simone De Reggi, Davide Liessi +1
The asymptotic stability of the null equilibrium of a linear population model with two physiological structures formulated as a first-order hyperbolic PDE is determined by the spec…
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…
Pseudospectral approximation of Hopf bifurcation for delay differential equations
Babette de Wolff, Francesca Scarabel, Sjoerd Verduyn Lunel +1
Pseudospectral approximation reduces DDE (delay differential equations) to ODE (ordinary differential equations). Next one can use ODE tools to perform a numerical bifurcation anal…