A simple system dynamics model can be used to show unrestricted exponential growth over time.
To run this model:
The model displays in Nova as shown
The two large central panels are called the Modeling Canvas and the Dashboard. The modeling canvas shows a graphic representation of the model as a set of interacting components. In fact, the model is constructed by placing such components on the modeling canvas, connecting them appropriately, and specifying their mathematical relationships using component expressions (not shown).
In the model, population is a stock called pop whose change is specified by a flow called birth. The birth rate is provided by the component expression rate * pop
. Here is a term which represents the constant or computed quantity contained in its component expression. In this model is provided by a slider called birth_rate, which is visible in the dashboard.
Also visible in the dashboard are a graph and table for displaying model output. These each have stubs in the model canvas that show how they get their data from pop.
The mathematical model represented here is given by the differential equation: $\frac{d\ pop}{dt} = rate * pop$
To run this model follow these steps:
Running this model: