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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.

Deterministic and Stochastic Schistosomiasis Models with General Incidence