ARTICLE
A study of stability of SEIHR model of infectious disease transmission
- Nonautonomous Dynamical Systems , 8 (1) : 307-327
Lien de l'article :
https://doi.org/10.1515/msds-2020-0140
Discipline :
Mathématiques
Auteur(s) :
Harouna Ouedraogo *, Dramane Ouedraogo, Idrissa Ibrango, and Aboudramane Guiro
Auteur(s) tagués :
OUEDRAOGO Harouna
Renseignée par : OUEDRAOGO Harouna
Résumé
We develop in this paper a Susceptible Exposed Infectious Hospitalized and Recovered (SEIHR), spread model. In the model studied, we introduce a recruitment constant, to take into account the fact that newborns can transmit disease. The disease-free and endemic equilibrium points are computed and analyzed. The basic reproduction number R0 is acquired, when R0 ≤ 1, the disease dies out and persists in the community whenever R0 1. From numerical simulation, we illustrate our theoretical analysis.
Mots-clés
Compartmental modeling, recruitment, infectious disease, reproduction number, equilibria, stability analysis, numerical simulation