Q. If $b$ is represented $\rightarrow$ Birth rate If $d$ is represented $\rightarrow$ Death rate If $dN$ is represented $\rightarrow$ Increase or decrease in population size Then exponential growth is represented by

A) $dN/dt\ = (b + d) \times N$
B) $dN/dt\ = (b - d) \times N$
C) $dN/dt\ = (d - b) \times N$
D) $dN/dt\ = (d - b)^{N}$
Explanation

$dN/dt\ = (b - d) \times N$. Exponential Growth Model When the resources availability is unlimited in the habitat, the population grows in an exponential or geometric fashion. As resources are unlimited than there is no inhibition from crowding. The equation is; $dN/dt = \ (b - d) \times N\ \ \lbrack b\ =$ Birth rate, $d\ =$ Death rate $N =$ Population density, $\frac{dn}{dt}$= Rate of change of population Let (b-d) = r, then the equation is, $dN/dt\ = \ Rn$ $r\ =$ Intrinsic rate of natural increase When a population shows exponential growth, the curve plotted with $N$ in relation to time, assume J shape In this there is no fix carrying capacity [image:13_image28.emf]

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

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