Gce Model Questions Vol1 2024 Agricultural Science Question 37
Practice objective / multiple choice question 37 from the 2024 Gce Model Questions Vol1 Agricultural Science examination.
A fish population in a lake follows logistic growth \(\frac{dP}{dt}=rP\left(1-\frac{P}{K}\right)\) with intrinsic rate \(r=0.4\ \text{yr}^{-1}\) and carrying capacity \(K=5000\) fish. A constant harvest \(H\) fish per year is applied. (a) Derive the expression for the equilibrium population(s) in terms of \(H\). (b) Find the maximum constant harvest \(H_{\max}\) that still permits a non‑zero stable equilibrium, and give the corresponding equilibrium population size.
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This is Gce Model Questions Vol1 2024 Agricultural Science Question 37. It is one of the objective questions from the 2024 Gce Model Questions Vol1 Agricultural Science examination.
Difficulty level: Hard .
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