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

Explain exponential growth as a growth model with a suitable graph and examples.

The population growth rate is maximum in which of the following countries?

If $N$ is the population density at time $t$,then at time $t + 1$,the density is calculated as . . . . . . .

What does the given figure indicate?

If the population at time $t$ is $N_t$,then its population at time $t + 1$ is . . . . . . .

Vedclass Test Series

Exam Paper Generator

Online Exam Module