Question: In Example 1 we used Lotka-Volterra equations to model populations of rabbits and wolves. Let's modify those equations as follows: dR/dt = 0.08R(1 - 0.0002R)
In Example 1 we used Lotka-Volterra equations to model populations of rabbits and wolves. Let's modify those equations as follows:
dR/dt = 0.08R(1 - 0.0002R) - 0.001RW
dW/dt = -0.02W + 0.0000RW
(a) According to these equations, what happens to the rabbit population in the absence of wolves?
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a Letting W 0 gives us dRdt 008 R l 00002R dRdt 0 R 0 or 5000 Since dRdt 0 for 0 R 5000 we would ex... View full answer
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