5 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…
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…