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
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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
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.
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