Let w be the number of worms (in millions) and r the number of robins (in thousands)
Question:
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.
Solve these differential equations in the two special cases when there are no robins and when there are no worms living on the island.
Transcribed Image Text:
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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If there are no worms then w 0 and drdt r ...View the full answer
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Related Book For
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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