A Mathematical Model of the Dynamics of Schistosomiasis
نویسندگان
چکیده
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 proposed schemes for the control of the disease.
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