WOLFRAM SYSTEM MODELER

# Gilpin

Gilpin population dynamics model

# Wolfram Language

In[1]:=
`SystemModel["SystemDynamics.IntroductoryExamples.Gilpin"]`
Out[1]:=

# Information

The Gilpin model is a model to describe and analyze the natural occurrence of chaotic motion in population dynamics.

References:

1. Cellier, F.E. (1991), Continuous System Modeling, Springer-Verlag, New York, ISBN: 0-387-97502-0, 755p.
2. Gilpin, M.E. (1979), "Spiral Chaos in a Predator-Prey Model," The American Naturalist, 113, pp.306-308.

Simulate the model across 5000 time units and plot the three populations:

You need to reduce the accuracy to 1e-10 in order for the simulation to run correctly.

# Outputs (3)

x1 Type: Real Description: Prey_1 population Type: Real Description: Prey_2 population Type: Real Description: Predator population

# Components (31)

Source1 Type: Source Description: This is the (dummy) source model of System Dynamics Type: Level Description: General System Dynamics level Type: Sink Description: This is the (dummy) sink model of System Dynamics Type: Source Description: This is the (dummy) source model of System Dynamics Type: Level Description: General System Dynamics level Type: Sink Description: This is the (dummy) sink model of System Dynamics Type: Rate_3 Description: Unrestricted additive rate element with three influencing variables Type: Rate_1 Description: Unrestricted rate element with one influencing variable Type: Rate_3 Description: Unrestricted additive rate element with three influencing variables Type: Prod_3 Description: Product of three influencing factors Type: Const Description: A constant factor Type: Prod_3 Description: Product of three influencing factors Type: Const Description: A constant factor Type: Prod_3 Description: Product of three influencing factors Type: Const Description: A constant factor Type: Prod_3 Description: Product of three influencing factors Type: Const Description: A constant factor Type: Level Description: General System Dynamics level Type: Rate_1 Description: Unrestricted rate element with one influencing variable Type: Rate_2 Description: Unrestricted additive rate element with two influencing variables Type: Source Description: This is the (dummy) source model of System Dynamics Type: Sink Description: This is the (dummy) sink model of System Dynamics Type: Prod_3 Description: Product of three influencing factors Type: Const Description: A constant factor Type: Prod_3 Description: Product of three influencing factors Type: Const Description: A constant factor Type: Prod_3 Description: Product of three influencing factors Type: Const Description: A constant factor Type: Prod_3 Description: Product of three influencing factors Type: Const Description: A constant factor Type: Rate_1 Description: Unrestricted rate element with one influencing variable