ARTICLE
Extinction probability of thestochastic model SEIRS
- ciencia-e-tecnica , 35 (2) : 15-29
Lien de l'article :
http://ciencia-e-tecnica.org/cien/index.php/archive/part/35/2/1/?currentVol=35&c...
Discipline :
Mathématiques, Physique, Chimie et Informatique
Auteur(s) :
Hay Yoba Talkibing, Barro Diakarya, Ouoba Fabrice.
Renseignée par : OUOBA Fabrice
Résumé
The dynamics of disease transmission is still a major problem in math-ematical epidemiology. In this work, we study the extinction probability ofa stochastic SEIRS-type model for infectious diseases evolving in a randomenvironment. We have determined the reproduction rate R0 and studied thestability of the stochastic system based on the continuous Markov chain ina discrete state. A simulation comparison of these two studies is made.
Mots-clés
Stochastic model, reproductive rate, Markov chain, epi-demiology, Extension probability, SEIRS.