Organisms And Populations Ques 1

1. The logistic population growth is expressed by the equation:

[2011M]

(a) $\mathrm{dt} / \mathrm{dN}=\mathrm{Nr}\left(\frac{K-N}{K}\right)$

(b) $\mathrm{dN} / \mathrm{dt}=\mathrm{rN}\left(\frac{K-N}{K}\right)$

(c) $\mathrm{dN} / \mathrm{dt}=\mathrm{rN}$

(d) $\mathrm{dN} / \mathrm{dt}=\mathrm{rN}\left(\frac{N-K}{N}\right)$

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Answer:

Correct Answer: 1.( b )

Solution:

  1. (b) The logistic population growth is expressed by the equation

$\frac{d N}{d t}=r N\left[\frac{(K-N)}{K}\right]$ where $\mathrm{N}$

is population density at time $\mathrm{t}, \mathrm{r}$ is the Malthusian parameter (rate of maximum population growth) and $\mathrm{K}$ is the so called carrying capacity (i.e. maximum sustainable population). It is a type of population growth when resources are limiting.



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