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Question

Biology Question on organisms and populations

In the equation dNdt=rN(KNK)\frac{dN}{dt} = rN \left( \frac{K -N}{K} \right) 'N? denotes

A

intrinsic rate of natural increase

B

population density at time t = 0

C

population density at time t

D

carrying capacity

Answer

population density at time t

Explanation

Solution

A population growing in a habitat with limited resources shows initially a lag phase, followed by phases of increase and decrease and finally the population density reaches the carrying capacity. A plot of N in relation to time (t) results in a sigmoid curve. This type of population growth is called Verhulst- Pearl Logistic Growth as explained by the following equation :
dN/dt=rN(KNK)dN / dt = rN \left( \frac{K - N }{K} \right)
Where N = Population density at a time t;
r = Intrinsic rate of natural increase and;
K = Carrying capacity.