Problems 18 and 19 extend the consideration of the Rosenzweig-MacArthr predator-prey model introduced in Problem 13 of section 7.4.
Consider the system
Where
(a) Find all the critical points.
(b) Consider the critical point in the interior of the first quadrant. Find the eigenvalues of the approximate linear system. Determine the value
(c) Draw a phase portrait for a value of
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