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This model extends the two species model given in the example →LotkaVolterraSystems by introducing a third species: wolves. Wolves predate on both, rabbits and foxes.
We can immediately extend the model for two species by introducing another material stock for wolves. As predators wolves
will also be connected to a process of exponential decline (e.g., starvation in absence of prey). Since wolves
predate on rabbits
and foxes
, there will be two nonlinear interactions between the stock of wolves
and the other stocks. As before, the predator side (portB
) of the NonlinearInteraction
flow will be connected to the inflow
port for wolves
, while the prey side (portA
) will be connected to the outflow
port of rabbits
and foxes
.
init = InitializationOptions.SteadyState
in the Advanced tab for modelSettings
allows us to find the equilibrium levels for the three populations.model
to collect global parameters: theta
. Doing so is quite convenient for more complex models (where we will often choose to additionally assign the inner
prefix), as we can set up the model as a component of its own and then simply modify an instance of it to arrive at a scenario run.theta
in the diagram we can then set all parameters in the General
or in the Parameters
tab in SystemModeler.The model presented here comes from Michael Tiller's excellent introduction "Modelica by Example" (see Object-Oriented Modeling>Components>Examples>Lotka-Volterra Equations Revisited), which ships with SystemModeler and can also be found online.
LotkaVolterraSystems, Tutorial.UnitsInBusinessSimulations
Name | Description |
---|---|
ModelOutput | Main output of the model |
Theta | Parameter definitions for the Base Case |