modelGilpin

Gilpin population dynamics model

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.

Components

TypeNameDefaultDescription
Realx1Prey_1 population
Realx2Prey_2 population
Realx3Predator population
SystemDynamics.Sources.SourceSource1
SystemDynamics.Levels.LevelPrey_1
SystemDynamics.Sources.SinkSink1
SystemDynamics.Sources.SourceSource2
SystemDynamics.Levels.LevelPrey_2
SystemDynamics.Sources.SinkSink2
SystemDynamics.Rates.Rate_3Death_1
SystemDynamics.Rates.Rate_1Birth_2
SystemDynamics.Rates.Rate_3Death_2
SystemDynamics.Auxiliary.Prod_3Prod_3_1
SystemDynamics.Auxiliary.Constk1
SystemDynamics.Auxiliary.Prod_3Prod_3_2
SystemDynamics.Auxiliary.Constk2
SystemDynamics.Auxiliary.Prod_3Prod_3_3
SystemDynamics.Auxiliary.Constk3
SystemDynamics.Auxiliary.Prod_3Prod_3_4
SystemDynamics.Auxiliary.Constk4
SystemDynamics.Levels.LevelPredator
SystemDynamics.Rates.Rate_1Death_P
SystemDynamics.Rates.Rate_2Birth_P
SystemDynamics.Sources.SourceSource3
SystemDynamics.Sources.SinkSink3
SystemDynamics.Auxiliary.Prod_3Prod_3_5
SystemDynamics.Auxiliary.Constk5
SystemDynamics.Auxiliary.Prod_3Prod_3_6
SystemDynamics.Auxiliary.Constk6
SystemDynamics.Auxiliary.Prod_3Prod_3_7
SystemDynamics.Auxiliary.Constk7
SystemDynamics.Auxiliary.Prod_3Prod_3_8
SystemDynamics.Auxiliary.Constk8
SystemDynamics.Rates.Rate_1Birth_1