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Match List-I with List-II. List-I List-II (A) dN dt = rN (1) Verhulst-Pearl Logistic Growth (B) dN dt = rN ( K-N K ) (2) Carrying capacity (C) Asymptote (3) Exponential growth (D) K (4) Population density equals carrying capacity ( N = K ) Choose the correct answer from the options given below:

Options

  1. A(A)-(1), (B)-(3), (C)-(2), (D)-(4)
  2. B(A)-(3), (B)-(1), (C)-(4), (D)-(2)
  3. C(A)-(3), (B)-(1), (C)-(2), (D)-(4)
  4. D(A)-(1), (B)-(3), (C)-(4), (D)-(2)

Correct answer

B. (A)-(3), (B)-(1), (C)-(4), (D)-(2)

Step-by-step solution

The equation dN dt = rN describes the exponential or geometric growth pattern of a population when resources are unlimited. The equation dN dt = rN ( K-N K ) describes the Verhulst-Pearl Logistic Growth of a population when resources are limited. A population growing in a habitat with limited resources shows a logistic growth curve, which reaches an asymptote when the population density ( N ) equals the carrying capacity ( K ). In these equations, K stands for the carrying capacity of the habitat. Answer: (A)-(3),

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