Lotka-Volterra equations (source code)

= Lotka-Volterra equations
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{wiki=Lotka–Volterra_equations}

The Lotka-Volterra predator-prey equations are
$$
\dot x=x(\alpha-\beta y),
\qquad
\dot y=y(-\gamma+\delta x),
$$
with positive parameters. Their positive equilibrium is surrounded by closed level curves of a logarithmic <first integral>.