Question: Exercise 5.16 Consider the following ontodimensional difference equation model: 17:21} 1+21r 1(11'1 1)It 1y: 1 [5-13] 9': = 911 + 2911 yt1)_ Etlyil [534] Find

Exercise 5.16 Consider the following
Exercise 5.16 Consider the following ontodimensional difference equation model: 17:21} 1+21r 1(11'1 1)It 1y: 1 [5-13] 9': = 911 + 2911\" yt1)_ Etlyil [534] Find all of its equilibrium points. Calcufate the Jacobian matrix at the equilibrium point where z > 0 arid y :r t]. Calcuiate the eigenvaiues of the matrix obtained above. Based on the result. classify the equilibrium point into one of the following: stable point. unstable point. saddle point. stable spiral focus. unstable spiral focus. or neutral center. 9593!\

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