Suppose that the equationdr= kr(M – 1) – Erdtmodels the population of fish in a lake, where harvesting occurs at the rate of Ex fish permonth (E a positive constant call harvesting effort). If 0 < E < kM,(a) If 0 < E < kM, show that the population is logistic.(b) What is the limiting population?kM(c) Show that the maximum sustainable harvesting effort is Emax2(d) If E 2 kM, show that r(t) → 0 as t → x, that is the lake is eventually fished out.

As per our guidelines we are only supposed to answer the first three subparts of the question.…

Answered: Suppose that the equation dr = kr(M –…

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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