Use numerical methods to solve ordinary differential equations.
du/dt = au - buv
dv/dt = -cv + dbuv
with the following notations:
- u: number of preys (for example, rabbits)
- v: number of predators (for example, foxes)
- a, b, c, d are constant parameters defining the behavior of the population:
- a: the natural growing rate of rabbits, when there's no fox
- b: the natural dying rate of rabbits, due to predation
- c: the natural dying rate of fox, when there's no rabbit
- d: the factor describing how many caught rabbits let create a new fox
-
Python
-
Julia
-
R
-
MATLAB