Let w be the number of worms (in millions) and r the number of robins (in thousands)

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Let w be the number of worms (in millions) and r the number of robins (in thousands) living on an island. Suppose w and r satisfy the following differential equations, which correspond to the slope field in Figure 9.44.

Assume that w = 3 and r = 1 when t = 0. Do the numbers of robins and worms increase or decrease initially? What happens in the long run?

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Applied Calculus

ISBN: 9781119275565

6th Edition

Authors: Deborah Hughes Hallett, Patti Frazer Lock, Andrew M. Gleason, Daniel E. Flath, Sheldon P. Gordon, David O. Lomen, David Lovelock, William G. McCallum, Brad G. Osgood, Andrew Pasquale

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Question Posted: Apr 10, 2023 04:15 AM

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Let w be the number of worms (in millions) and r the number of robins (in thousands)

Question:

3 dw dt r (predator) 4 = w-wr, 1 11/ 117 11/ 1/ 1 1/2 1/// 21/ 117 117 17 | |/\| dr dt V 1 1 1 1 1 1 1 1 1 || = -r+wr. / / / / / / / / / / / 1 ///// 1 2 Figure 9.44: dr. dw 3 r(W-1) w(1-r) w (prey)

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The numbers of robins begins to increase while the number ...View the full answer

Applied Calculus

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