We model the interaction of the number of rabbits, RR, in thousands, and sheep, S, in hundreds, in a region by the equations R'=5R-R^2-SR S'=8S-S^2-2SR What are the equilibrium points? Remember R is horizontal.  What is the classification of (0,0) and stability of the equilibrium of the R and S axis and the stability of the equilibrium that is not on the axis?

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Author:James Stewart
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Chapter1: Functions And Models
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We model the interaction of the number of rabbits, RR, in thousands, and sheep, S, in hundreds, in a region by the equations

R'=5R-R^2-SR

S'=8S-S^2-2SR

What are the equilibrium points? Remember R is horizontal. 

What is the classification of (0,0) and stability of the equilibrium of the R and S axis and the stability of the equilibrium that is not on the axis?

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