Approximating the periodic solutions of the Lotka--Volterra system.

Tatjana Grozdanovski, John Shepherd


The two dimensional Poincare--Lindstedt method is used to obtain approximate solutions to the periodic solutions of the Lotka--Volterra predator-prey system near the non-trivial critical point. These approximations are then used to analyze the behaviour of these solutions and provide a convenient way to describe general solution properties not available from numerical computations.

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