Neco 2018 Biology Question 45

Practice objective / multiple choice question 45 from the 2018 Neco Biology examination.

Neco 2018 Biology Objective / Multiple Choice Medium Difficulty
Question 45 NECO • 2018 • BIOLOGY • objective

A fish population in a lake follows logistic growth \(\frac{dN}{dt}=rN\left(1-\frac{N}{K}\right)\) with intrinsic rate \(r=0.4\ \text{month}^{-1}\) and carrying capacity \(K=8000\) fish. Initially there are 2000 fish. A constant harvest of 300 fish per month is introduced. Find the equilibrium population size(s) under harvesting and state whether the population will persist or go extinct.

Answer Options

A. Equilibria ≈ 500 fish (unstable) and 7500 fish (stable); population persists
Correct Answer B. Equilibria ≈ 838 fish (unstable) and 7162 fish (stable); population persists
C. Equilibria ≈ 838 fish (stable) and 7162 fish (unstable); population goes extinct
D. Equilibria ≈ 1200 fish (unstable) and 6800 fish (stable); population persists
Correct Answer
B
Correct Option:
Equilibria ≈ 838 fish (unstable) and 7162 fish (stable); population persists

About This Question

This is Neco 2018 Biology Question 45. It is one of the objective questions from the 2018 Neco Biology examination.

Difficulty level: Medium .

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