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In the constant-harvest model fisher- men are allowed a constant take, regardless of the time required for that. The parameter h indicates the constant
In the constant-harvest model fisher- men are allowed a constant take, regardless of the time required for that. The parameter h indicates the constant harvesting rate dP P(1-R) - h h> 0. (3) i. Our goal is to understand what happens to the equilibrium values as h increases. For r = 1 and K = 4900 find the equilibrium values, P, and P. of equation (3) for each of the values h = 300, 600, 900, and 1225. ii. For each of the values of h above draw a phase diagram and classify the stability of the equlibrium values P and P... iii. What happens to P, and P. as h increases? iv. A. For which value of h is there only one critical point? Draw a phase line for this case. B. What does this mean in terms of the sustainability of the fishery? C. What fraction of the carrying capacity is the h-value that yields a single critical point?
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