TITLE:
Deterministic and Stochastic Schistosomiasis Models with General Incidence
AUTHORS:
Stanislas Ouaro, Ali Traoré
KEYWORDS:
Computational Simulation; General Incidence; Reproduction Number; Schistosomiasis Model; Stochastic Differential Equation
JOURNAL NAME:
Applied Mathematics,
Vol.4 No.12,
December
3,
2013
ABSTRACT: 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 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.