.BusinessSimulation.Flows.Interaction.ComplexInteraction .BusinessSimulation.Flows.Interaction.ComplexInteractionThis information is part of the Business Simulation Library (BSL). Please support this work and ► donate.
The ComplexInteraction component combines linear and nonlinear interaction between two stocks A (portA) and B (portB):
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_0 |
base unit of flow to A ( |
Rate of growth for stock A |
|
|
base unit of flow to B ( |
Rate of growth for stock B |
|
|
1/s |
fractional rate of growth for stock A |
|
|
1/s |
fractional rate of growth for stock B |
|
|
base unit of flow to A ( |
Rate of growth for stock A per stock B |
|
|
base unit of flow to B ( |
Rate of growth for stock B per stock A |
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.
The classical Lotka-Volterra-Model of predator-prey-dynamics can be derived from this model using the following parameterization:
a_0 = 0, a_A = α, a_B = 0, a_AB = -β, b_0 = 0, b_B = -γ, b_A = 0, b_AB = δ
LinearInteraction and NonlinearInteraction the rates passed for a_B, a_AB, b_A, b_AB call for divison by a reference level of the connected stocks. In many cases, modelers can leave the type selectors TypeA, TypeB at their default value of Unspecified so that no conversion will take place.displayUnit settings to enter convenient reference levels refA, refB.LinearInteraction, ComplexInteraction, LotkaVolterra
| 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.TypeA, TypeB and corresponding reference levels refA, refB introduced to support unit checking and unit conversions in v2.2.