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  3. 3 consider the followin g system discussed in class bs2...

Question: 3 consider the followin g system discussed in class bs2...

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3. Consider the followin g system discussed in class: --bs2, a, b > 0. (a) Show that the nonnegative quadrant R2 is positively invariant. (b) Give a condition on the parameters a and b so that the nonnegative quadrant contains multiple equilibria. Specify each equilibrium and determine whether it is a stable (un- stable) node, focus, or a saddle. (c) Simulate the system for a sample choice of parameters satisfying the condition derived in part (b) and plot the phase portrait.

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