Il seminario si svolge martedì 21 maggio, in modalità mista, presenza e streaming (vedi link in calce).
Il titolo del seminario è: Integro-differential Modeling of Infectious Disease Outbreaks: Numerical Insights.
Di seguito l'abstract.
The age-of-infection integro-differential model, originally proposed by Kermack and Mc-Kendrick, provides a versatile yet computationally challenging framework for comprehensively describing various scenarios of infectious disease outbreaks. In this presentation, we address the challenges associated with the long-time simulation of this epidemic model and its extension to heterogenously mixed host populations by introducing dynamically consistent numerical methods. Specifically, we present unconditionally positive and high-order schemes based on Non-Standard Finite Difference and Direct Quadrature methods. Moreover, we conduct an investigation into the asymptotic behavior of solutions to non-linear implicit Volterra discrete equations. By applying these outcomes to numerical methods for age-of-infection models, we rigorously demonstrate the convergence of the discrete final size of the epidemic, establishing our schemes as reliable tools for assessing the long-term behavior of outbreaks.
