Gce Model Questions Vol1 2017 Biology Question 38
Practice objective / multiple choice question 38 from the 2017 Gce Model Questions Vol1 Biology examination.
On a closed island, the rabbit population \(N\) follows logistic growth \(\frac{dN}{dt}=rN\left(1-\frac{N}{K}\right)\) with intrinsic rate \(r=0.8\) month\(^{-1}\) and carrying capacity \(K=5000\). A fox population \(P\) preys on the rabbits with a predation term \(aNP\) where \(a=0.001\) month\(^{-1}\) per rabbit‑fox. Foxes reproduce according to \(\frac{dP}{dt}=b\,aNP-mP\) with conversion efficiency \(b=0.1\) and mortality rate \(m=0.05\) month\(^{-1}\). Initially \(N(0)=1000\) rabbits and \(P(0)=20\) foxes. Within the first 12 months, will the rabbit population ever exceed 3000 individuals? Give a brief justification.
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This is Gce Model Questions Vol1 2017 Biology Question 38. It is one of the objective questions from the 2017 Gce Model Questions Vol1 Biology examination.
Difficulty level: Hard .
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