Which one of the following equations represents the Verhulst-Pearl Logistic Growth of population? [2025]

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Solution

Q.
Which one of the following equations represents the Verhulst-Pearl Logistic Growth of population [2025]

1 $\frac{d N}{d t} = r (\frac{K - N}{K})$

2 $\frac{d N}{d t} = r N (\frac{K - N}{K})$

3 $\frac{d N}{d t} = r N (\frac{N - K}{N})$

4 $\frac{d N}{d t} = N (\frac{r - K}{K})$

Ans.
(2)

Logistic growth is described by Verhulst-Pearl logistic growth equation $\frac{d N}{d t} = r N (\frac{K - N}{K})$

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Solution

Q. Which one of the following equations represents the Verhulst-Pearl Logistic Growth of population [2025]

1 dNdt=r(K-NK)

2 dNdt=rN(K-NK)

3 dNdt=rN(N-KN)

4 dNdt=N(r-KK)

Ans. (2) Logistic growth is described by Verhulst-Pearl logistic growth equation dNdt=rN(K-NK)

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Q.
Which one of the following equations represents the Verhulst-Pearl Logistic Growth of population [2025]

1 $\frac{d N}{d t} = r (\frac{K - N}{K})$

2 $\frac{d N}{d t} = r N (\frac{K - N}{K})$

3 $\frac{d N}{d t} = r N (\frac{N - K}{N})$

4 $\frac{d N}{d t} = N (\frac{r - K}{K})$

Ans.
(2)

Logistic growth is described by Verhulst-Pearl logistic growth equation $\frac{d N}{d t} = r N (\frac{K - N}{K})$