Suppose that the increase in a population can be modelled as
\(\left(\frac{d N}{d t}\right)=r N \frac{(K-N)}{K}\)
where N is the size of the population, K is the carrying capacity, r is the per capita growth rate and t is time. Which of the following statements is correct?
1
When N ≈ 0, the change in population N is nearly exponential.
2
When N = K, the population goes extinct as dN/dt goes to zero.
3
When N ≈ 0, the population growth dN/dt is maximum.
4
When N ≈ K/4, the population growth dN/dt is maximum.