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math.NA2024
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…
math.NA2021
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…
math.NA2020
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…