Numerical approach to the identification of fractional differential equations and applications in epidemics - Archive ouverte HAL Accéder directement au contenu
Pré-Publication, Document De Travail Année : 2023

Numerical approach to the identification of fractional differential equations and applications in epidemics

Approche numérique de l'identification d'équations différentielles fractionnaires et applications à la modélisation de la propagation d'une épidémie

Résumé

We discuss the global and partial identification problem for fractional differential equations and we provide a numerical procedure based on a global and local optimization algorithms. The model identification algorithm is implemented on a new fractional model for the propagation of the dengue disease developed in this paper, called the fractional homogeneous Nishiura model. We show that the proposed fractional model improves previous results on the modeling of the dengue propagation.
Fichier principal
Vignette du fichier
PredictionNishiuraWithoutWeights_h01093.pdf (106.6 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-04065555 , version 1 (18-04-2023)

Identifiants

  • HAL Id : hal-04065555 , version 1

Citer

Jacky Cresson, Marielle Péré, Anna Szafranska. Numerical approach to the identification of fractional differential equations and applications in epidemics. 2023. ⟨hal-04065555⟩
74 Consultations
25 Téléchargements

Partager

Gmail Facebook X LinkedIn More