Assuming that r has a positive value, in the formula dN/dt = rmaxn (k - n)/k, the factor rn tends to cause the population to grow increasingly rapidly.
A Population may be defined as the group of individuals belonging to the same species living in the same area at a given time.
The above-given formula represents the logistic growth model, where dN/dt is the rate of population change per unit time, r is the per capita rate of population growth, N, is the population size, K is the carrying capacity, and (K-N)/k is the proportion of available resources.
The positive value of r leads to a rapid increase in the population. While a negative value causes the opposite effect on the growth of the population.
Therefore, the positive value of r tends to cause the population to increase rapidly.
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