  In the modeling of parasite transmission dynamics, understanding the
reproductive characteristics of these parasites is crucial.
  This paper presents a mathematical model that explores the reproductive
behavior of dioecious parasites and its impact on transmission dynamics.
  Specifically, the study focuses on the investigation of various reproductive
variables such as the mating probability and the fertilized egg production in
the case of helminth parasites.
  While previous studies have commonly assumed Poisson and negative binomial
distributions to describe the distribution of parasites among hosts, this study
adopts an arbitrary distribution model and examines its consequences on some
reproductive variables. These variables include mean number of fertile females,
mean egg production, mating probability and mean fertilized egg production.
  In addition, the study of these variables takes into account the sex
distribution of the parasites and whether male and female parasites are
considered to be distributed together or separately.
  We show that the models obtained for the case of male and female parasites
distributed separately in the hosts are ecologically unrealistic.
  We present the results obtained for some specific models and we tested the
models obtained in this work using Monte Carlo simulations.
