Refined Asymptotic Approximations for the Phase Plane Trajectories of the SIR Model with Vital Dynamics - CNRS - Centre national de la recherche scientifique Accéder directement au contenu
Pré-Publication, Document De Travail Année : 2023

Refined Asymptotic Approximations for the Phase Plane Trajectories of the SIR Model with Vital Dynamics

Résumé

We build on our previous work to derive more accurate analytical approximations for the phase-plane trajectories of the standard susceptible-infectious-removed (SIR) epidemic model, including host births and deaths. From our refined analysis, we obtain closed-form analytical expressions for the maximum and minimum prevalence following an initial outbreak. As in our previous work, our analysis involves matching asymptotic expansions across branch cuts of the Lambert W function, but we carry the approximations to higher asymptotic orders.
Fichier principal
Vignette du fichier
Manuscript2_HAL.pdf (968.94 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-04178983 , version 1 (08-08-2023)

Identifiants

  • HAL Id : hal-04178983 , version 1

Citer

Todd L Parsons, David J D Earn. Refined Asymptotic Approximations for the Phase Plane Trajectories of the SIR Model with Vital Dynamics. 2023. ⟨hal-04178983⟩
44 Consultations
13 Téléchargements

Partager

Gmail Facebook X LinkedIn More