Integrability of Lotka–Volterra Planar Complex Cubic Systems

Maša Dukarić, Jaume Giné
2016 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering  
In this paper we study the Lotka-Volterra complex cubic systems. We obtain necessary conditions of integrability for these systems with some restriction on the parameters. The sufficiency is proved for all conditions, except one which remains open, using different methods.
doi:10.1142/s0218127416500024 fatcat:afnojxnh3fexzosnfemlv7fcbm