Key Equations Box:
| Model | Equation | Curve | Key feature |
|---|---|---|---|
| Exponential | dN/dt = rN | J-shaped | No upper limit |
| Exponential (integrated) | N_t = e^(rt) | J-shaped | Unlimited growth |
| Logistic | dN/dt = rN(K-N)/K | S-shaped (sigmoid) | Max growth at N=K/2 |
Critical values for NEET:
- (K-N)/K = 1 when N = 0 → full resource availability → maximum possible r applies
- (K-N)/K = 0.5 when N = K/2 → inflection point
- (K-N)/K = 0 when N = K → zero growth