Solution
Related Formula
(dN)/(dt) = rN ( (K - N)/(K) )where N = population density at time t, r = intrinsic rate of natural increase, K = carrying capacity.
Core Logic
Verhulst-Pearl logistic growth models population growth in a resource-limited environment. The differential equation is given by (dN)/(dt) = rN ( (K - N)/(K) ), where (K - N)/(K) represents environmental resistance.
Step 1: Conclusion
Option (1) correctly represents the logistic growth equation.
Pattern Recognition
Sees: "Verhulst-Pearl logistic growth equation". Shortcut: (dN)/(dt) = rN((K - N)/(K)).
Chapter Mix
Class 12 Biology: Organisms and Populations