Lotka–Volterra equations

The Lotka–Volterra equations, also known as the predator-prey equations, are a pair of first-order, nonlinear differential equations that describe the dynamics of biological systems in which two species interact: one as a predator and the other as prey. They were formulated independently by the Italian mathematician Vito Volterra and the American ecologist Alfred James Lotka in the early 20th century.