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:
- Cellier, F.E. (1991), Continuous System Modeling, Springer-Verlag, New York, ISBN: 0-387-97502-0, 755p.
- 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
| Type | Name | Default | Description |
|---|---|---|---|
| Real | x1 | Prey_1 population | |
| Real | x2 | Prey_2 population | |
| Real | x3 | Predator population | |
| Sources.Source | Source1 | ||
| Levels.Level | Prey_1 | ||
| Sources.Sink | Sink1 | ||
| Sources.Source | Source2 | ||
| Levels.Level | Prey_2 | ||
| Sources.Sink | Sink2 | ||
| Rates.Rate_3 | Death_1 | ||
| Rates.Rate_1 | Birth_2 | ||
| Rates.Rate_3 | Death_2 | ||
| Auxiliary.Prod_3 | Prod_3_1 | ||
| Auxiliary.Const | k1 | ||
| Auxiliary.Prod_3 | Prod_3_2 | ||
| Auxiliary.Const | k2 | ||
| Auxiliary.Prod_3 | Prod_3_3 | ||
| Auxiliary.Const | k3 | ||
| Auxiliary.Prod_3 | Prod_3_4 | ||
| Auxiliary.Const | k4 | ||
| Levels.Level | Predator | ||
| Rates.Rate_1 | Death_P | ||
| Rates.Rate_2 | Birth_P | ||
| Sources.Source | Source3 | ||
| Sources.Sink | Sink3 | ||
| Auxiliary.Prod_3 | Prod_3_5 | ||
| Auxiliary.Const | k5 | ||
| Auxiliary.Prod_3 | Prod_3_6 | ||
| Auxiliary.Const | k6 | ||
| Auxiliary.Prod_3 | Prod_3_7 | ||
| Auxiliary.Const | k7 | ||
| Auxiliary.Prod_3 | Prod_3_8 | ||
| Auxiliary.Const | k8 | ||
| Rates.Rate_1 | Birth_1 |