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Question

With the help of suitable diagram describe the logistic population growth curve.

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Solution

Logistic population growth curve:

(i) The resources become limited at the certain point of time, so no population can grow exponentially.

(ii) This growth model is realistic

(iii) Every ecosystem or environment has limited resources to support a particular maximum number of the individual called its carrying capacity (K).

(iv) When N is plotted in relation to time t, the logistic growth curve shows the sigmoid curve and is also called. Verhulst-Pearl logistic growth. It is given by the following equation :

dNdt=rN[KNK]

where, N = population density at time t

r = intrinsic rate of natural increase

k = carrying capacity

Population growth curve 'a' when responses have not limited the growth, the plot is exponential, 'b' when responses are limiting the growth, the plot is logistic, K is carrying capacity.


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