Question

Verhulst-PearP is associated with the equation

• A. $ \frac{dN}{dt}=rN\left( \frac{K-N}{K} \right) $
• B. $ \frac{dN}{dt}=tN\left( \frac{K-N}{K} \right) $
• C. $ \frac{dN}{dt}=rN\left( \frac{K-N}{N} \right) $
• D. $ \frac{dN}{dt}=tN\left( \frac{K-N}{N} \right) $

Answer 1

Answer: (A)

Population growth under the Verhulst-Pearl logistic equation is sigmoidal ($S$-shaped), reaching an upper limit termed the carrying capacity, $K$.
Population initiated at densities above $K$ decline exponentially untill they reach $K$, which represents the only stable equilibrium.