ARTICLE
LOCAL STABILITY AND OPTIMAL CONTROL STRATEGY FOR A SARS-CoV-2 EPIDEMIC
- Far East Journal of Dynamical Systems , 38 (1) : 47-71
Lien de l'article :
https://doi.org/10.17654/0972111825003
Discipline :
Mathématiques, Physique, Chimie et Informatique
Auteur(s) :
Georges Kologo , Cédric K. SOME, Somdouda SAWADOGO
Auteur(s) tagués :
SOME Kpèbbèwèrè Cédric
Renseignée par : SOME Kpèbbèwèrè Cédric
Résumé
This article assesses the effect of vaccination on the control of an infectious disease using a new mathematical model in which immunity is not acquired permanently. In this model, the number of elementary reproductions \mathcal{R}_0 is a major indicator of the extinction or propagation of the infection in a population. In this document, the cost of control is also defined in order to propose an optimal value. Variable states are also simulated as a function of the evolution of the disease in relation to the strength of the infection.
Mots-clés
optimal value, epidemic model, loss of immunity, homogeneous environment.