.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.