$f'(t)=af(t)(K-f(t))-bf(t)g(t)$ for $a,b,c,d,t,K>0$
$$g'(t)=cf(t)g(t)-dg(t)$$
This system has 3 fixed points (You can evaluate them if you set the 2 equations = 0). One point is $(\frac{d}{c},\frac{a}{b}(K-\frac{d}{c}))$
I would like to know if this point is asymptotically stable for $K>\frac{d}{c}$, so if the solution converges to this point for $t\to\infty$, correct ?
I have no idea and would really appreciate if someone could show me how to do it so I can use the method for similar equations.