Question: Hi, I need help with this question. 8. Consider the Rabbits Vs. Sheep competition model R = R(3 - R - 2S) S = S

Hi, I need help with this question.

8. Consider the Rabbits Vs. Sheep competition model R = R(3 - R - 2S) S = S ( 2 - R -S) . Rabbits breed faster while sheep are more competitive. ) Determine the stability and type of all equilibrium points. What do you conclude?8. (0,0), unstable node. (0,2), stable node. (1,1), saddle point. (3,0), stable node. Given that there are no other \"attracting\" sets of points (closed orbits etc), we conclude that (R, S) > (3,0) or (R, S) > (0,2), depending on the initial condition {(0, 0), (1, 1)}. (Principle of competitive exclusion.)

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