Article citationsMore>>

G. Macdonald, “The Dynamics of Helminth Infections, with Special Reference to Schistosomiasis,” Transactions of the Royal Society of Tropical Medicine and Hygiene, Vol. 59, No. 5, 1965, pp. 489-506.
http://dx.doi.org/10.1016/0035-9203(65)90152-5

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.