Which of the following equations depicts Verhulst-Pearl logistic population growth ?
- dNdt=rN ( K-NK )
- dNdt=rN ( KK-N )
- dNdt=rN ( K-NN )
- dNdt=rN ( K+NK )
Answer
(1) dNdt=rN ( K-NK )
Solution
In logistic growth, the growth rate falls as the population size N approaches the carrying capacity K.
The factor K-NK is nearly 1 when N is small and becomes 0 when N=K.
As per NCERT, logistic growth is given by dNdt=rN ( K-NK ).
Answer: (1)