Piotrowski has developed a detailed analytic model of the process, which predicts a cycle as follows:

It is possible to develop analytic models using these principles; they predict the following characteristics, which are consistent with field observations:

These behaviour analytic models have received some support from research and meta-analytic reviews.

His analytic models were a milestone of galactic theory because they illustrate those interrelationships so clearly.

The brothers used commercially available computer software to develop an analytic model of how the virus is transmitted.

In the case of analytic models, it is also referred to as a Modelbase.

Ultimately, the boys developed a four-part analytic model that tracked virus transmission to birds and humans.

This autocorrelation was lost somewhat in the step from "by hand" to analytic models.

The researchers created an analytic model based on differential equations, taking into account the interaction rules they learned by observing swarming bees.

"It's a nice analytic model that basically describes the same thing we have been seeing, a short cut that complements our simulations."