Final answer:
A logistic population model shows the most rapid population growth at its initial stages, not at the inflection point.
Step-by-step explanation:
The statement is false. A logistic population model shows the most rapid population growth at its initial stages, not at the inflection point. In a logistic growth curve, the population initially grows exponentially but eventually levels off as it reaches the carrying capacity of its environment. The inflection point represents the point at which the growth rate starts to slow down.