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Posted: **Wed May 11, 2022 11:15 pm**

: 3 20 Points Consider The Following Predator Prey System 2 X 1 Y 2 10 30 2 2 10 1 Y Y 3 A Find All Equilib 1 (20.88 KiB) Viewed 12 times

: 3 20 Points Consider The Following Predator Prey System 2 X 1 Y 2 10 30 2 2 10 1 Y Y 3 A Find All Equilib 2 (20.88 KiB) Viewed 12 times

3.(20 points) Consider the following predator-prey system 2 ' = x(1 y 2 + 10 30 2 2 + 10 1 y' = y 3 (a) Find all equilibrium points and specify their stability type. (b) Construct a positively invariant region(Hint: Look at our example). Show that this region is trapping. (c) Is there a periodic orbit? Please show your work.