This Insight has been set up to explore the properties of the logistics equation.  The logistics equation is a very simple model of a population where there is some limit to growth.  It is often cited as an archetypal example of how complex, chaotic behaviour can arise from very simple non-linear dynamical equations. The map was popularized in a seminal 1976 paper by the biologist Robert May.You can change the input values of the equations below and see the results by hitting the Simulate button.

Two loop structure which reflects the reinforcing effects of profits/investment, as well as profits/employee retention.

Test target void.

Credit: Gene Bellinger

Credit: Gene Bellinger

We often set out to solve a problem or accomplish some particular result and things seem to go as planned. As time progresses it seems that progress becomes more and more difficult, if not impossible, and things may actually become worse than when we started. When this happens it is typically a Fixes that Fail structure that's operating. See also Archetypes.

Video

This model is part of

And? Understanding Relationships & Their Implications.

2NO2- + O2 --> 2NO3-