WOLFRAM SYSTEMMODELER

Gilpin

Gilpin population dynamics model

Diagram

Wolfram Language

In[1]:=
Click for copyable input
SystemModel["SystemDynamics.IntroductoryExamples.Gilpin"]
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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

x2

Type: Real

Description: Prey_2 population

x3

Type: Real

Description: Predator population

Components (31)

Source1

Type: Source

Prey_1

Type: Level

Sink1

Type: Sink

Source2

Type: Source

Prey_2

Type: Level

Sink2

Type: Sink

Death_1

Type: Rate_3

Birth_2

Type: Rate_1

Death_2

Type: Rate_3

Prod_3_1

Type: Prod_3

k1

Type: Const

Prod_3_2

Type: Prod_3

k2

Type: Const

Prod_3_3

Type: Prod_3

k3

Type: Const

Prod_3_4

Type: Prod_3

k4

Type: Const

Predator

Type: Level

Death_P

Type: Rate_1

Birth_P

Type: Rate_2

Source3

Type: Source

Sink3

Type: Sink

Prod_3_5

Type: Prod_3

k5

Type: Const

Prod_3_6

Type: Prod_3

k6

Type: Const

Prod_3_7

Type: Prod_3

k7

Type: Const

Prod_3_8

Type: Prod_3

k8

Type: Const

Birth_1

Type: Rate_1