The logistic population growth is expressed by the equation

Step-by-step 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 t ) 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 : d N / d t=r N ( K-N K ) where, N= Population density at time t , r= Intrinsic rate of na