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P. Van den Driesche and J. Watmough, “Reproduction Numbers and Subthreshold Endemic Equilibria for the Compartmental Models of Disease Transmission,” Mathematical Biosciences, Vol. 180, No. 1-2, 2002, pp. 2948. http://dx.doi.org/10.1016/S0025-5564(02)00108-6

has been cited by the following article:

• 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.