dN1/dt=r1N1(1-N1+aN2/K1)
dN2/dt=r2N2(1-N2+BN1/K2)
a is the competition coefficient for species 1, which converts individuals of species 2 into the equivalent number of individuals of species 1
B is the competition coefficient for species 2, which converts individuals of species 1 into the equivalent number of individuals of species 2