Applied Mathematics
Volume 4, Issue 12 (December 2013)
ISSN Print: 2152-7385 ISSN Online: 2152-7393
Google-based Impact Factor: 0.58 Citations
Deterministic and Stochastic Schistosomiasis Models with General Incidence ()
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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 < 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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