please show matlab live script in solving these 4 problems, no need for manual solutions. ONLY MATLAB LIVE SCRIPTS FOR A,B,C,D THANK YOU SO MUCH

1. Constant Effort Harvesting. At a given level of effort, it is reasonable to assume that the rate at which fish are caught depends on the population y: the more fish there are, the easier it is to catch them. Thus we assume that the rate at which fish are caught is given by H(V, 1) = Ey, where is a pos- itive constant, with units of 1/time, that measures the total effort made to harvest the given species of fish. With this choice for H(y, 1), Eq. (1) becomes dy/dt =r(1 - y/Ky - Ey. 0) This equation is known as the Schaefer model after the biologist M. B. Schaefer, who applied it to fish populations. (a) Show that if E 0. (b) Show that y = y, is unstable and y = y2 is asymptotically stable. (c) A sustainable yield Y of the fishery is a rate at which fish can be caught indefinitely. It is the product of the effort E and the asymptotically stable population y2. Find Y as a function of the effort E. The graph of this function is known as the yield effort curve. (d) Determine E so as to maximize Y and thereby find the maximum sustainable yield Y.. 1. Constant Effort Harvesting. At a given level of effort, it is reasonable to assume that the rate at which fish are caught depends on the population y: the more fish there are, the easier it is to catch them. Thus we assume that the rate at which fish are caught is given by H(V, 1) = Ey, where is a pos- itive constant, with units of 1/time, that measures the total effort made to harvest the given species of fish. With this choice for H(y, 1), Eq. (1) becomes dy/dt =r(1 - y/Ky - Ey. 0) This equation is known as the Schaefer model after the biologist M. B. Schaefer, who applied it to fish populations. (a) Show that if E 0. (b) Show that y = y, is unstable and y = y2 is asymptotically stable. (c) A sustainable yield Y of the fishery is a rate at which fish can be caught indefinitely. It is the product of the effort E and the asymptotically stable population y2. Find Y as a function of the effort E. The graph of this function is known as the yield effort curve. (d) Determine E so as to maximize Y and thereby find the maximum sustainable yield Y