When does the growth rate of a population fol | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(C) The logistic growth model is represented by the equation $dN/dt = rN(1 - N/K)$.Here,$dN/dt$ represents the population growth rate.For the growth r

Vedclass · Accepted Answer

when $N/K$ is exactly one

Vedclass · Answer

(C) The logistic growth model is represented by the equation $dN/dt = rN(1 - N/K)$.Here,$dN/dt$ represents the population growth rate.For the growth rate to be zero,$dN/dt = 0$.Substituting this into the equation: $0 = rN(1 - N/K)$.Since $r$ (intrinsic rate of natural increase) and $N$ (population size) are generally non-zero in an active population,the term $(1 - N/K)$ must be equal to zero.This implies $1 - N/K = 0$,which simplifies to $N/K = 1$.Therefore,the population growth rate becomes zero when the population size $N$ reaches the carrying capacity $K$ (i.e.,$N/K = 1$).

$Country$	$Birth\, rate$ $/1000$	$Death\, rate$ $/1000$
$M$	$15$	$5$
$N$	$25$	$10$
$O$	$35$	$18$
$P$	$48$	$41$

When does the growth rate of a population following the logistic model equal zero? The logistic model is given as $dN/dt = rN(1 - N/K)$.

Similar Questions

Human population growth in India is:

The unrestricted reproductive capacity in a population is called ........

The stationary phase of a population occurs when

When resources in the habitat become progressively limited,the growth pattern observed is.......?

The birth and death rates of four countries are given below. Which one will have the least population growth rate?
$Country$ $Birth\, rate$ $/1000$ $Death\, rate$ $/1000$
$M$ $15$ $5$
$N$ $25$ $10$
$O$ $35$ $18$
$P$ $48$ $41$

Vedclass Test Series

Exam Paper Generator

Online Exam Module