NEET 2016 Phase 1 · BiologyPrevious Year Question
When does the growth rate of a population following the logistic model equal zero? The logistic model is given as dN/dt = rN(1 − N/K): (NEET 2016 (Phase 1))
Answer: (A) When N/K is exactly one. Answer: (A) When N/K is exactly one.
- A.When N/K is exactly one✓
- B.When N nears the carrying capacity of the habitat
- C.When N/K equals zero
- D.When death rate is greater than birth rate
Correct Answer
(A) When N/K is exactly one
Solution & Explanation
Answer: (A) When N/K is exactly one. Solution: In dN/dt = rN(1 − N/K), the growth rate is exactly zero when the bracket (1 − N/K) = 0, i.e. when N/K = 1 (N = K, the carrying capacity). At this point the population has reached its asymptote and stops growing. NCERT: Ch 11, p.195, lines 37-42 — "finally an asymptote, when the population density reaches the carrying capacity"
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