Mathematical Biology
Lotka–Volterra Equations
Predator–prey population oscillations.
dx/dt=αx−βxy, dy/dt=δxy−γy
What it means
The Lotka–Volterra equations model coupled prey and predator populations, producing sustained oscillations that shaped theoretical ecology.
Variables
| x | prey population |
| y | predator population |
| α | prey growth |
| β | predation |
| γ | predator death |
| δ | predator gain |
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