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0.5 Proportional Harvest Another possible approach to harvesting the cod would be to harvest an amount proportional to the existing fish population. This is called the proportional harvesting model and includes a constant a that is between 0 and 1 where 1 represents harvesting 100% of the fish. Consider our example r = 1 and K = 1600. dP P =rP 1 - dt K B³) - a -αP (a) Use a slope field plotter and experiment with varying a between 0 and 1. Can you find any value a <1 that causes the fish population to become extinct? If so, what is that value? Upload one graph for a particular value of a. (b) Would you recommend that Wildlife Management Agencies use the Constant Harvest Model or the Proportional Harvest Model if their goal is a long term sustainable fishery? Explain your reasoning.

0.5 Proportional Harvest Another possible approach to harvesting the cod would be to harvest an amount proportional to the existing fish population. This is called the proportional harvesting model and includes a constant a that is between 0 and 1 where 1 represents harvesting 100% of the fish. Consider our example r = 1 and K = 1600. dP P =rP 1 - dt K B³) - a -αP (a) Use a slope field plotter and experiment with varying a between 0 and 1. Can you find any value a <1 that causes the fish population to become extinct? If so, what is that value? Upload one graph for a particular value of a. (b) Would you recommend that Wildlife Management Agencies use the Constant Harvest Model or the Proportional Harvest Model if their goal is a long term sustainable fishery? Explain your reasoning.

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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0.5 Proportional Harvest Another possible approach to harvesting the cod would be to harvest an amount proportional to the existing fish population. This is called the proportional harvesting model and includes a constant a that is between 0 and 1 where 1 represents harvesting 100% of the fish. Consider our example r = 1 and K = 1600. dP P =rP 1 - dt K B³) - a -αP (a) Use a slope field plotter and experiment with varying a between 0 and 1. Can you find any value a <1 that causes the fish population to become extinct? If so, what is that value? Upload one graph for a particular value of a. (b) Would you recommend that Wildlife Management Agencies use the Constant Harvest Model or the Proportional Harvest Model if their goal is a long term sustainable fishery? Explain your reasoning.
Transcribed Image Text:0.5 Proportional Harvest Another possible approach to harvesting the cod would be to harvest an amount proportional to the existing fish population. This is called the proportional harvesting model and includes a constant a that is between 0 and 1 where 1 represents harvesting 100% of the fish. Consider our example r = 1 and K = 1600. dP P =rP 1 - dt K B³) - a -αP (a) Use a slope field plotter and experiment with varying a between 0 and 1. Can you find any value a <1 that causes the fish population to become extinct? If so, what is that value? Upload one graph for a particular value of a. (b) Would you recommend that Wildlife Management Agencies use the Constant Harvest Model or the Proportional Harvest Model if their goal is a long term sustainable fishery? Explain your reasoning.
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