Logistic Growth Equation

Q.

When the population size (N) approaches the carrying capacity (K). The value of dN/dt approaches

1. 1

2. infinity

3. K

4. 0

Q. Which growth represents the following given equation?
$\frac{dN}{dt}=rN\left(\frac{K-N}{K}\right)$

1. Log growth
2. Logistic growth
3. Exponential growth
4. Linear growth

Q. In a population that exhibits logistic growth, increment in the population size at each point in time is calculated by the formula $\frac{dN}{dt}=rN\left(\frac{K-N}{K}\right)$.

1. True
2. False

Q. Which of the following equations relating to logistic population growth is correct?

1. $dN=rN-\frac{N}{K}$
2. $\frac{dN}{dt}=rN-\frac{N}{K}$
3. $\frac{dN}{dT}=rN-\frac{1}{K}$
4. $\frac{dN}{dt}=rN\left(\frac{K-N}{K}\right)$

Q. A population of bacteria is growing initially in a lag phase, followed by phases of acceleration and decerelation and finally an sationary phase. Which of the following equation describes this type of population growth?

1. $\frac{dN}{dt}=rN$
2. $N_t=N_0{e}^{rt}$
3. $r=b-d$
4. $\frac{dN}{dt}=rN\left(\frac{K-N}{K}\right)$

Q. When does the growth rate of a population following the logistic model equal zero? The logistic model is given as $\frac{DN}{dt}$ $=rN(1-\frac{N}{K})$

1. When $\frac{N}{K}$ is exactly one
2. When N nears the carrying capacity of the habitat
3. When $\frac{N}{K}$ equals zero
4. When death rate is greater than birth rate