On the solution of mathematical models of herd immunity in human helminth infections |
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| Authors: | Marco V José |
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| Institution: | (1) Center for Research on Infectious Diseases, National Institute of Public Health, Apartado Postal 19-054, 19 Mexico, D.F., Mexico |
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| Abstract: | The general solution of the mathematical model of herd immunity to human helminth infections recently proposed by Anderson and May 3] is obtained. The numerical solution of a more accurate biological model is indistinguishable from the corresponding exact solution of a more tractable mathematical model. Computer simulations of some particular cases of this model support the notion that both ecological and immunological factors determine the observed convex patterns of age-prevalence and age-intensity curves of human helminth infections.This work was made thanks to the advise and support of Dr. Robert M. May while the author was Postdoctoral Fellow at Princeton University |
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| Keywords: | Epidemiological models Human helminth infections Herd immunity Behavioural ecology Analytic and numerical solutions |
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