Modified predator-prey dynamics In Example 1 we used Lotka-Volterra equations to model populations of rabbits and wolves. Let’s modify those equations as follows:

(a) According to these equations, what happens to the rabbit population in the absence of wolves?

(b) The figure shows the phase trajectory that starts at the point s1000, 40d. Describe what eventually happens to the rabbit and wolf populations.

(c) Sketch graphs of the rabbit and wolf populations as functions of time.

Transcribed Image Text:

dR - 0.08R(1 0.0002R) - 0.001RW dt dW -0.02W0.00002RW dt