Botany · Organisms and Populations

NEET (UG) 2025 — Question 170

Which one of the following equations represents the Verhulst-Pearl Logistic Growth of population?

  1. Option A:

    dNdt=r(K−NK)\frac{dN}{dt} = r \left(\frac{K-N}{K}\right)

  2. Option B:

    dNdt=rN(K−NK)\frac{dN}{dt} = rN \left(\frac{K-N}{K}\right)

    Correct
  3. Option C:

    dNdt=rN(N−KN)\frac{dN}{dt} = rN \left(\frac{N-K}{N}\right)

  4. Option D:

    dNdt=N(r−KK)\frac{dN}{dt} = N \left(\frac{r-K}{K}\right)

Answer: B

Step-by-step solution

The Verhulst-Pearl logistic growth equation incorporates carrying capacity (K) and intrinsic growth rate (r). The

correct equation is dNdt=rN(K−NK)\frac{dN}{dt} = rN \left(\frac{K-N}{K}\right) showing population growth with environmental resistance.

Answer key and solution verified before publishing.

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Exam
NEET (UG) 2025
Subject
Botany
Chapter
Organisms and Populations
Topic
Population Growth
Which one of the following equations represents the Verhulst-Pearl… | NEET (UG) 2025 PYQ with Solution · DhiX AI