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Assertion : A population growing in a ha...

Assertion : A population growing in a habitat with limited resources shows initially a lag phase, followed by phase of accelerated and deceleration and finally as asymptote, when the population density reaches the carrying capacity.
Reason : In Verhulst-Pearl Logistic growth, plot of N (population density) at time (t) results in a sigmoid curve.

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A population growing in a habitat with limited resources shows initially a lag phase, followed by phases of acceleration and deceleration and finally an asymptote, when the population denstiy reaches the carrying capacity. A plot of population density (N) in relation to time (t) results in a sigmoid curve. This type of population growth is called Verhulst-Pearl Logistic Growth and is described by the following equations: `(dN)/(dt)=rN((K-N)/(K))` Where N = Population density at time t
r = Intrinsic rate of natural increase
and K = Carrying capacity.
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