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Deterministic and Stochastic Schistosomiasis Models with General Incidence

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DOI: 10.4236/am.2013.412229    3,078 Downloads   4,621 Views   Citations


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.

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The authors declare no conflicts of interest.

Cite this paper

Ouaro, S. and Traoré, A. (2013) Deterministic and Stochastic Schistosomiasis Models with General Incidence. Applied Mathematics, 4, 1682-1693. doi: 10.4236/am.2013.412229.


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