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)

$\frac{dN}{dt}=rN\left( \frac{K-N}{K} \right)$

Answer 2

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.