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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…
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…
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…