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Consider the spruce budworm model. A bifurcation occurs approximately at the point (k, r) = (9.57, 0.4). Sketch the graph of the curve X/ 1+X2

Consider the spruce budworm model. A bifurcation occurs approximately at the point (k, r) = (9.57, 0.4). Sketch the graph of the curve X/ 1+X2 and line r (1 X/k )for this situation (similarly to what we have done in class). Make sure to label your axes. Then use the over-under method to draw the associated phase portrait, indicating the stability of the equilibrium point(s)E

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