Question

# Asymptote in a logistic growth curve is obtained in a population when the population size reaches

A
K
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B
r
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C
N
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D
dN
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Solution

## The correct option is A KAsymptote is a mathematical term, which means a curve is a line such that the distance between the curve and the line approaches zero as the X coordinates tend to infinity. In a logistic growth curve, a population growing in a habitat with limited resources, initially shows a phase of slow growth (lag phase), followed by a phase of acceleration (log phase), then deceleration and finally reaches carrying capacity (K) which is the maximum number of individuals of a population that can be sustained in a given habitat. At this stage, the resources have been utilised to their maximum potential and there is no further increase in the size of the population because the number of births per capita become equal to the number of deaths per capita. At this point, the growth rate ceases and slows nearly to zero and the graph shows an asymptote. Asymptote is a mathematical term, which means a curve is a line such that the distance between the curve and the line approaches zero as the X coordinates tend to infinity. Intrinsic rate of natural increase is represented by ‘r’. It is the difference between the number of births and the number of deaths in a population per year. A higher value of r in a population signifies a steady increase in growth. dN in a population represents a change in the number of individuals from the initial population size. N represents the population density in a population. It is the number of individuals per unit area.

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