A Mathematical Model Of The Dynamics Of Schistosomiasis

Abstract

In this work the authors develop a mathematical model for the dynamics of a major helminth parasite of man, schistosomiasis. The model is a system of coupled non-linear equations. Numerical experimentations with the model reveal the remarkable stability of the dynamics of schistosomiasis. The steady state is invariably reached within 10-15 years of the start of the infection. A numerical solution of the model supports the often-stated and often-debated observation that "the usual shape of the curve of the intensity of infection by age is produced through variability of water-contact behaviour among age groups and a slowly-acquired immunity to re-infection." It also indicates that convexity of the age-intensity profile can be due to variability of water-contact activities among age groups alone. The model can be used to answer questions of the "what if' variety about the dynamics of schistosomiasis especially as they relate to