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90. Sustainable Harvesting Suppose that a fish population evolves according to the logistic equation and that a fixed num- ber of fish per unit time are removed. That is, (1-2) dN = rN dt N - H K Assume that r = 2 and K = 1000. %3D (a) Find possible equilibria, and discuss their stability when H = 100. (b) What is the maximal harvesting rate that maintains a positive population size?

90. Sustainable Harvesting Suppose that a fish population evolves according to the logistic equation and that a fixed num- ber of fish per unit time are removed. That is, (1-2) dN = rN dt N - H K Assume that r = 2 and K = 1000. %3D (a) Find possible equilibria, and discuss their stability when H = 100. (b) What is the maximal harvesting rate that maintains a positive population size?

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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90. Sustainable Harvesting Suppose that a fish population evolves according to the logistic equation and that a fixed num- ber of fish per unit time are removed. That is, dN N *(1-*)- rN dt K Assume that r=2 and K = 1000. %3D (a) Find possible equilibria, and discuss their stability when H = 100. %3D (b) What is the maximal harvesting rate that maintains a positive population size?
Transcribed Image Text:90. Sustainable Harvesting Suppose that a fish population evolves according to the logistic equation and that a fixed num- ber of fish per unit time are removed. That is, dN N *(1-*)- rN dt K Assume that r=2 and K = 1000. %3D (a) Find possible equilibria, and discuss their stability when H = 100. %3D (b) What is the maximal harvesting rate that maintains a positive population size?
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