Question

Asymptote in a logistic growth curve is obtained in a population, when ____________.

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Solution

The correct option is **A** carrying capacity is equal to number of individuals in the population

In a logictic growth curve, a population growing in a habitat with limited resources, initially shows a phase of slow growth (lag phase), where the birth rate is less as the individuals are getting adapted to the new environment. This is followed by a phase of acceleration (log phase) where the number of births is more than the number of deaths. Then, the population shows 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. Hence, the carrying capacity becomes equal to the number of individuals in the population. This is called the stationary phase. After this, the growth rate ceases and slows nearly to zero. At this point, the graph shows an asymptote.

In a logictic growth curve, a population growing in a habitat with limited resources, initially shows a phase of slow growth (lag phase), where the birth rate is less as the individuals are getting adapted to the new environment. This is followed by a phase of acceleration (log phase) where the number of births is more than the number of deaths. Then, the population shows 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. Hence, the carrying capacity becomes equal to the number of individuals in the population. This is called the stationary phase. After this, the growth rate ceases and slows nearly to zero. At this point, the graph shows an asymptote.

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