Question

The exponential growth can be expressed $w_t=w_0{e}^{rt}$ whereas $e$ denotes

• A. growth rate
• B. time of growth
• C. base of nature logarithm
• D. final size

Answer 1

Answer: (C)

Population growth curve are the mathematical expression of the growth of a population, which are used to predict the growth rate of population from its beginning till its climax stage i.e., stability. These growth curve may be $S$-shaped or sigmoid shape or $J$-shaped. The later $J$-shaped curve is shown by small population and contain two phases e.g., lag phase and exponential phase and is represented by following exponential equation $\frac{dN}{dt}=rN$ Where, $r$ denote intrinsic rate of natural increases and $N$ is size of population, while $dN/dt$ is rate of change in population size. The integral form of the above reaction can be derived as $W_t=W_0{e}^n$ where, $W_t=$ population density after time $t$ $W_O=$ population density at time $0$ $e$ = the base of natural logarithm $r=$ intrinsic rate of natural increase.