Results/Conclusions: There are clearly some general principles governing such interactions which arise from the fundamental constraints of thermodynamics and conservation of mass. Beyond these, ecologists have now developed a conceptual framework for understanding in general when to expect oscillatory dynamics, versus regulation to a stable equilibrium. This framework, which involves the interplay of density dependent feedbacks and heterogeneity, seems robust, but some ecologist still question its generality, and particular natural enemy-victim systems often have idiosyncratic structural features that are crucial to understanding their persistence and dynamics. These details are particularly important when relating the theory of predator-prey interactions to the theme of diversity and species coexistence.