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.,$N/K = 1$).

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

If in a population,the number of organisms added by $B + I$ is less than the number of organisms lost by $D + E$ at time $t$,but the population size $N$ at time $t+1$ is $10$ times greater than the initial population size,which of the following characteristics can be inferred?

Select the correct sequence of phases in the bacterial growth curve.

The given population growth curve represents the logistic growth curve. In this curve,identify what $A$,$B$,and $C$ indicate.

Exponential growth in human population is observed in:

The carrying capacity of the Earth for the human population is estimated to be approximately:

Vedclass Test Series

Exam Paper Generator

Online Exam Module