ABSTRACT
The study of evolutionary genetics of host-pathogen and host-parasite systems has important practical significance in agricultural and natural systems [18). According to Read et al. there is a need for "detailed analysis of the evolutionary genetics of host-parasite interactions" ([18], p.450). This need requires uniting the mathematical theory of epidemiology with population genetics theory for host-pathogen and host-parasite systems. Some representative mathematical models which have contributed to the theoretical development in these areas are cited in the references [2, 3, 4, 7, 10, 12, 13, 14, 15, 18, 21]. These models are either differential or difference equations depending on whether the time interval is continuous or discrete. The analytical results for some of these models are limited by the model assumptions, e.g., a Hardy-Weinberg equilibrium is assumed, where there is no selection, no mutation, no genetic drift, etc.
