.BusinessSimulation.Flows.Interaction.LotkaVolterra .BusinessSimulation.Flows.Interaction.LotkaVolterraThis information is part of the Business Simulation Library (BSL). Please support this work and ► donate.
These are the classical Lotka-Volterra equations describing predator-prey-dynamics in an idealized way [17]. The dynamics for the prey population (portA) and the predator population (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 |
|---|---|---|
alpha |
1 per second |
fractional growth rate for prey population |
beta |
1 per second per base unit of B ( TypeB) |
fractional rate of decline for prey population per predator |
gamma |
1 per second |
fractional rate of decline for predator population |
|
|
1 per second per base unit of A ( TypeB) |
fractional rate of groth for predator population per prey |
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.| Name | Description |
|---|---|
 TypeA | Type selector for stock A |
 TypeB | Type selector for stock B |
 InputConnector | DataBus for inputs |
InputConnector defined as encapsulated expandable connector in v2.1.0.unspecified in v2.1.0.TypeA, TypeB and corresponding reference levels refA, refB introduced to support unit checking and unit conversions in v2.2.