Population Dynamics: Find & Classify Equilibrium Points

[Jess1986]

Two species x, y compete for the same limited food supply according to the model
x'=3x-2x^2-2xy y'=4y-3y^2-2xy
Find and classify the equilibrium points.

Please please can anyone help me with this??

 

[HallsofIvy]

Do you have any idea at all what an "equilibrium point" is? Do you know how to find the Jacobian for this system? If you don't, look them up- you will need to know that!