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In this paper we use detailed data about the biology of the head louse(pediculus humanus capitis) to build a model of the evolution of head licecolonies. Using theory and computer simulations, we show that the model can beused to assess the impact of the various strategies usually applied toeradicate head lice, both conscious (treatments) and unconscious (grooming). Inthe case of treatments, we study the difference in performance that arises whenthey are applied in systematic and non-systematic ways. Using some reasonablesimplifying assumptions (as random mixing of human groups and the same mobilityfor all life stages of head lice other than eggs) we model the contagion ofpediculosis using only one additional parameter. It is shown that thisparameter can be tuned to obtain collective infestations whose variables arecompatible with what is given in the literature on real infestations. Weanalyze two scenarios: one where group members begin treatment when a similarnumber of lice are present in each head, and another where there is oneindividual who starts treatment with a much larger threshold ('superspreader').For both cases we assess the impact of several collective strategies oftreatment.

Of lice and math: using models to understand and control populations of head lice