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?
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 9T
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