ARTICLE
A STOCHASTIC MODEL FOR THE SPREAD OF HUMAN PLASMODIA
- Advances in Differential Equations and Control Processes , Volume 30 (4) : 363-383
Lien de l'article :
http://dx.doi.org/10.17654/0974324323020
Discipline :
Mathématiques
Auteur(s) :
Abdoul Karim DRABO ; Frédéric BERE ; Sibiri Narcisse DOLEMWEOGO; S. P. Clovis NITIEMA
Auteur(s) tagués :
DOLEMWEOGO Sibiri Narcisse
Renseignée par : DOLEMWEOGO Sibiri Narcisse
Résumé
We use stochastic differential equations (SDEs) to model the spread
of the malaria parasite through a compartmental model of the type
( SRILS -Ivhhhhh ). Considering the transmission rates β( ) t and ν(t)
by introducing standard Brownian motion in order to render the
ordinary differential equation into SDE, we obtain the existence and
uniqueness of the solution.
Mots-clés
Plasmodium falciparum; ( SRILS -Ivhhhhh ) model; stochastic differential equations.