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Main /
ExamplesLotkaVolterraLotka-Volterra predator-prey model
\dot{x}_1 = a x_1 - b x_1 x_2
\dot{x}_2 = c x_1 x_2 - d x_2.
Here, x_1 represents the number of prey and x_2 is the number of predators (in appropriate units so that they take continuous values in the interval [0,1]), and a, b, c, and d are parameters. The terms a x_1 and -d x_2 account for the reproduction rate of each species in the absence of interaction with the other and the nonlinear terms represent the effects of predation on the reduction of preys and the reproduction of the predators.
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