Approximating reproduction numbers: a general numerical method for age-structured models

Autor: Simone De Reggi, Francesca Scarabel, Rossana Vermiglio

Publikováno v: Mathematical Biosciences and Engineering, Vol 21, Iss 4, Pp 5360-5393 (2024)

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 span. To provide complete flexibility in the definition of the birth a

Externí odkaz: https://doaj.org/article/00b0c3053ab54d1386f87125ca1ef451

Pseudospectral discretization of delay differential equations in sun-star formulation: Results and conjectures

Autor: Francesca Scarabel, Odo Diekmann, Rossana Vermiglio

Publikováno v: Discrete & Continuous Dynamical Systems - S. 13:2575-2602

In this paper we study the pseudospectral approximation of delay differential equations formulated as abstract differential equations in the \begin{document}$ \odot* $\end{document} -space. This formalism also allows us to define rigorously the abstr

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::3255389694c7a83dbfc4dc5566ad4824
https://doi.org/10.3934/dcdss.2020196

15 Years or So of Pseudospectral Collocation Methods for Stability and Bifurcation of Delay Equations

Autor: Alessia Andò, Dimitri Breda, Davide Liessi, Stefano Maset, Francesca Scarabel, Rossana Vermiglio

Publikováno v: Advances in Delays and Dynamics ISBN: 9783030890131

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::e870ddaf1b9615e6e651252cc632c431
https://doi.org/10.1007/978-3-030-89014-8_7

Collocation of Next-Generation Operators for Computing the Basic Reproduction Number of Structured Populations

Autor: Jordi Ripoll, Dimitri Breda, Rossana Vermiglio, Toshikazu Kuniya

Publikováno v: Journal of Scientific Computing, 2020, vol. 85, art.núm. 40
Articles publicats (D-IMAE)
Breda, Dimitri Kuniya, Toshikazu Ripoll i Misse, Jordi Vermiglio, Rossana 2020 Collocation of Next-Generation Operators for Computing the Basic Reproduction Number of Structured Populations Journal Of Scientific Computing 85 art.núm. 40
DUGiDocs – Universitat de Girona
instname
Journal of Scientific Computing

We contribute a full analysis of theoretical and numerical aspects of the collocation approach recently proposed by some of the authors to compute the basic reproduction number of structured population dynamics as spectral radius of certain infinite-

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ab154023c12d025a46139c44b22feb3f
https://pubmed.ncbi.nlm.nih.gov/33162670

Equations with infinite delay: Numerical bifurcation analysis via pseudospectral discretization

Autor: Mats Gyllenberg, Francesca Scarabel, Rossana Vermiglio

Publikováno v: Applied Mathematics and Computation. 333:490-505

We address the problem of the numerical bifurcation analysis of general nonlinear delay equations, including integral and integro-differential equations, for which no software is currently available. Pseudospectral discretization is applied to the ab

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::de09a40c830da3e4a56095feb088c070
https://doi.org/10.1016/j.amc.2018.03.104