Abstract
The integrability of a class of cubic Lotka–Volterra systems ẋ=x(1−a0x2−a1xy−a2y2),ẏ=y(−λ+b0x2+b1xy+b2y2), is studied. For odd λ satisfying λ≥3, we derive the necessary and sufficient conditions for the integrabilities of the above systems.
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