The logistic population growth is expressed by the equation:
- dt/dN = Nr ( K-NK )
- dN/dt = rN ( K-NK )
- dN/dt = rN ( N-KN )
- dN/dt = rN
Answer
(2) dN/dt = rN ( K-NK )
Solution
As per NCERT, a population growing in a habitat with limited resources shows logistic (Verhulst–Pearl) growth, described by
dNdt = rN ( K-NK )
where N = population density at time t, r = intrinsic rate of natural increase and K = carrying capacity.
dN/dt = rN describes exponential growth (unlimited resources).
Answer: (2)