Fox and Rabbit Population Stability Analysis
The foxes and rabbits model is a predator-prey dymnamic system. A dynamic system is a set of interrelated variables whose values change through time. Each population has 3 variables:
- Initial population
- Birth rate (0 – 1)
- Death rate (0 – 1)
This model assume that the populations of fox, F_i and rabbit, R_i at time i are related by the formula below:
- Increase the initial size of the fox population by 1. What happens to the two curves? Based on this result is the equilibrium stable?
- Try altering the values for the birth and death rate. Can you find a set of values for which a limit cycle occurs?