title: On the solution of mathematical models of herd immunity in human helminth infections.
abstract: The general solution of the mathematical model of herd immunity to human helminth infections recently proposed by Anderson and May 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.
authors.affiliation: Center for Research on Infectious Diseases, National Institute of Public Health, Mexico, D.F.
authors.forename: M V
authors.initials: MV
authors.lastname: José
mesh_terms: D000818:Animals; D006373:Helminthiasis / Q000276:immunology*; D006790:Host-Parasite Interactions; D006801:Humans; D007109:Immunity; D008433:Mathematics; D015233:Models, Statistical