They give general principles for the dynamic interactions of objects of different natures, so that the mathematical models worked out in one science may be applied to another.
Trophic functions have proven useful in forecasting temporarily[clarification needed] stable conditions (limit cycles and/or attractors) of the coupled dynamics of predator and prey.
theorem[clarification needed] on the inflection points of trophic functions guarantees the existence of a limit cycle in these systems.
Trophic functions are especially important in situations of chaos, when one has numerous interacting magnitudes and objects, as is particularly true in global economics.
Global economics, for instance, needs tools to forecast the dynamics of outputs and prices over a scale of at least 3–5 years, to maintain stable demand, not over-produce, and prevent crises such as that of 2008.