#2 and #3 only please, Matlab code only as well! will vote up if answer is correct!

Consider the system given by (x_ 1 x_ 2) = (-x_ 1 + ax_ 2 + x^2_ 1 x_ 2 b - ax_ 2 - x^2_ 1 x_ 2) (1), where x_ 1 represents the concentration of adenosine diphosphate and x_ 2 the concentration of fructose-6-phosphate, and a, b are constants. It is a simple model of the glycolysis. A fixed point of a system x = f(x), where x elementof R^n is a point x^* elementof R^n, such that f (x^*) = 0. Find the fixed point of the system in (1). Numerically solve system (1) using a = 0.06, b = 0.6, and x_ 1(0) = x^*_ 1 + elementof x_ 2(0) = x^*_ 2 + elementof as initial conditions, where elementof is a small number and x^* = (x^*_ 1, x^*_ 1)^T from part 1). Plot x_ 1 (t) versus x_ 2 (t) and the point x^* = (x^*_ 1, x^*_ 2)^T, on the same figure. Also plot x_ 1(t) and x_ 2 (t) as functions of time. Numerically solve system (1) using a = 0.06, and x_ 1(0) = x^*_ 1 + elementof, x_ 2(0) = x^*_ 2 + elementof as initial conditions where elementof is a small number and x^* = (x^*_ 1, x^*_ 2)^T from part 1). Plot x_ 1(t) versus x_ 2 (t) and the point x^* = (x^*_ 1, x^*_ 2)^T, on the same figure. Also plot x_ 1(t) and x _ 2(t) as functions of time. Compare the results in parts 2) and 3). What do you observe