8.3 Population Ecology
Notes
- Exponential growth: $\displaystyle \frac{dN}{dt}=r_{max}N$, J-shaped, unlimited resources.
- Logistic growth: $\displaystyle \frac{dN}{dt}=r_{max}N\frac{K-N}{K}$, S-shaped, levels off at carrying capacity $K$.
Practice
Logistic growth slows as the population approaches:
Resources run short.
$r_{max}=0.1$ and $N=500$ with unlimited resources. $\displaystyle \frac{dN}{dt}=$
Exponential: $0.1\times500$.
A J-shaped curve represents:
Unlimited growth.
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