A) \[dt/dN=Nr\left( \frac{K-N}{K} \right)\]
B) \[dN/dt=rN\left( \frac{K-N}{K} \right)\]
C) \[dN/dt=rN\]
D) \[dN/dt=rN\left( \frac{N-K}{N} \right)\]
Correct Answer: B
Solution :
A population growing in a habitat with limited resources show initially a lag phase, followed by phases of acceleration and deceleration and finally an asymptote, when the population density reaches the carrying capacity. A plot of N (population density at time c) in relation to time (t) results in sigmoid curve. This type of population grown is called Verhulst-Pearl Logistic Growth and is describes by the following equation: \[dN/dt=RN\left( \frac{K-N}{K} \right)\]where, N = Population density at time t, r= Intrinsic rate of natural increase K = Carrying capacity Since resources for growth for most animal populations are finite and become limiting soner or later, the logistic growth model is considered a more realistic one.
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