| Equation | Description | Variables |
|---|---|---|
| Nt+1 = Nt + [(B + I) − (D + E)] | Change in population density | Nt = density at time t; B = natality; I = immigration; D = mortality; E = emigration |
| dN/dt = rN | Exponential growth | r = intrinsic rate of natural increase; N = population density |
| Nt = N0 ert | Integral form of exponential growth | N0 = density at time zero; e = base of natural logarithm (2.71828) |
| dN/dt = rN(K − N)/K | Logistic (Verhulst-Pearl) growth | K = carrying capacity |
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