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?

Step by Step Solution

3.32 Rating (170 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

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

blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Document Format (1 attachment)

Word file Icon

786-C-D-E (687).docx

120 KBs Word File

Students Have Also Explored These Related Calculus Questions!