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{"ops":[{"insert":"Consider the logistic growth model given by \n\n"},{"attributes":{"bold":true},"insert":"Y"},{"attributes":{"bold":true,"script":"sub"},"insert":"t"},{"attributes":{"bold":true},"insert":" = Y"},{"attributes":{"bold":true,"script":"sub"},"insert":"t -1"},{"attributes":{"bold":true},"insert":" + 0.08 Y"},{"attributes":{"bold":true,"script":"sub"},"insert":"t -1"},{"attributes":{"bold":true},"insert":" ( 1 - Y "},{"attributes":{"bold":true,"script":"sub"},"insert":"t -1"},{"attributes":{"bold":true},"insert":" \/ 50 ) , Y"},{"attributes":{"bold":true,"script":"sub"},"insert":"0"},{"attributes":{"bold":true},"insert":" = 60"},{"insert":"\n\na)\u00a0Explain the significance of the constants. \nb)\u00a0Compute the fixed points of the trajectory and analyze their stability. \nc)\u00a0Derive the linear approximation of the discrete dynamic system. \nd)\u00a0Compute the trajectory for the linear approximation determined above.\u00a0\n"}]}
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