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$f'(t)=af(t)(K-f(t))-bf(t)g(t)$ 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.

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    I guess there is an extra $x$ in your second equation. Tell us what you have tried so far for this homework problem.2012-11-24
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    The only idea I have is to solve the differential equations, but I think this is the wrong way.2012-11-25

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