Solved: 18 and 19 extend the consideration of the RosenzweigMacArthur predator prey
Chapter 9, Problem 18(choose chapter or problem)
18 and 19 extend the consideration of the RosenzweigMacArthur predator prey model introduced in of Section 9.5.. Consider the systemx = x2.4 0.2x 2yx + 6, y = y0.25 + xx + 6.Observe that this system differs from that in of Section 9.5 only in the growthrate for the prey.(a) Find all of the critical points.(b) Determine the type and stability of each critical point.(c) Draw a phase portrait in the first quadrant and conclude that there is an asymptoticallystable limit cycle. Thus this model predicts a stable long-term oscillation of the prey andpredator populations.
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