.BusinessSimulation.Flows.Interaction.NonlinearInteraction .BusinessSimulation.Flows.Interaction.NonlinearInteractionThis information is part of the Business Simulation Library (BSL). Please support this work and ► donate.
The NonlinearInteraction can be used by itself or in combination with the →LinearInteraction flow to model more complex interactions. The netflows to the connected stocks A (portA) and B (portB) are given by the following equations:
Note: Capital letters were chosen to represent the stocks (state variables) connected at portA and portB in the formula above. Also dot notation is used for a stock's rate of flow—its first derivative with respect to time.
| Coefficient | Unit | Description |
|---|---|---|
a_AB |
1 per second per base unit of B ( TypeB) |
Factor used to determine the net flow to A |
b_AB |
1 per second per base unit of A ( TypeA |
Factor used to determine the net flow to B |
The coefficients can be given as parameters or as variables via the expandable connector dataIn.
A nonlinear component is typically found in predator-prey models or models of infectious diseases, where the exponential growth rate for a population depends upon the size of another population (e.g., prey or susceptible population).
Amount [each] then it is rather straight forward to enter a fractional rate per unit of A or B for the parameters a_AB, b_AB and we can in fact leave TypeA, TypeB, refA, refB at their default values.displayUnit for one of the stocks, we can use the type selectors TypeA, TypeB to select the appropriate units for the connected stocks and then set the references values refA, refB using whatever displayUnit we want.LinearInteraction, ComplexInteraction
| Name | Description |
|---|---|
 TypeA | Type selector for stock A |
 TypeB | Type selector for stock B |
 InputConnector | Data bus for inputs |
InputConnector defined as encapsulated expandable connector in v2.1.0.unspecified in v2.1.0.