ARTICLE
Deterministic and Stochastic Schistosomiasis Models with General Incidence
- Appl. Math , 4 (12) : 1682-1693
Discipline :
Mathématiques
Auteur(s) :
S. Ouaro, A. Traoré
Auteur(s) tagués :
OUARO Stanislas
TRAORE Ali
Renseignée par : OUARO Stanislas
Résumé
In this paper, deterministic and stochastic models for schistosomiasis involving four sub-populations are developed. Conditions are given under which system exhibits thresholds behavior. The disease-free equilibrium is globally asymptotically stable if R0 < 1 and the unique endemic equilibrium is globally asymptotically stable when R0 > 1. The populations are computationally simulated under various conditions. Comparisons are made between the deterministic and the stochastic model.
Mots-clés
Computational Simulation; General Incidence; Reproduction Number; Schistosomiasis Model; Stochastic Differential Equation