ARTICLE
Global Analysis of SIRS Epidemic Model With General Incidence Function and Incomplete Recovery Rates Stochastical Model
- Journal of Mathematics Research , 12 : 100-100
Lien de l'article :
https://doi.org/10.5539/jmr.v12n6p100
Discipline :
Mathématiques, Physique, Chimie et Informatique
Auteur(s) :
Dramane Ouedraogo, Ali Traoré, Aboudramane Guiro
Auteur(s) tagués :
GUIRO Aboudramane
Renseignée par : GUIRO Aboudramane
Résumé
In this paper, deterministic and stochastic models are developped for a class of SIRS epidemic models. Firstly, The conditions for the existence, local and global stability of the disease-free equilibrium and endemic equilibrium are obtained. Secondly, we built the stochastic model. The populations are computationally simulated under various conditions. Comparisons are made between the deterministic and stochastic model.
Mots-clés
SIRS epidemic model, stochastic epidemic model, deterministic epidemic model, disease-free equilibrium, endemic equilibrium, global stability, local stability