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answered Apr 22 2012 at 20:13

mathphysicist
3,516●14●30

There are some integrable Lotka--Volterra systems, see e.g. the paper O.I. Bogoyavlenskij, Integrable Lotka--Volterra systems, Regular and Chaotic Dynamics, 2008, Vol. 13, No. 6, pp. 543–556.