**THE LOTKA-VOLTERRA MODEL**
**Program**

In order to study this system, it is first necessary to discretise the equations.For that, an Euler temporal scheme is used (it is the simplest one) to discretise the temporal derivatives:

Then, the following program is used to calculate x and y. The user has to give the parameters of the system, the initial conditions, the time step for the calculation and the number of iterations.As results, the program plots x and y as functions of t on figure 1 (x is plotted in cyan and y is plotted in magenta) and y as a function of x on figure 2. It also plots the initial point in magenta and the critical point in cyan.

You can go to this program by clicking here.