Q. $dN/dt = rN\left( \frac{K - N}{K} \right)$ A – Population density at time $t$ B – Intrinsic rate of natural increase C – Carrying capacity Identify A, B and C from given equation A B C

A) N K r
B) N r K
C) K N r
D) K r N
Explanation

$A - N,\ B–r,\ C–K$ Logistic Growth Model No population can continue to grow exponentially, as the resource availability become limiting at certain point of time. Logistic growth model have fixed carrying capacity It is described by the equation $\frac{dN}{dt} = rN\left( \frac{K - N}{K} \right)$ Rate of change of population density N = Population density at time N = Population density r = Intrinsic rate of natural increase K = Carrying capacity [image:13_image35.emf] Population growth curve $A$ when resources are not limiting. Plot is exponential or geometrical curve $B$. When resources are limiting the growth, plot is logistic ‘$K$’ is carrying capacity

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

Ph.D. in Physics with 19+ years of teaching experience.