We considered the polynomial first integral for reversible Lotka-Volterra model which describes the oscillatory chemical dynamics in a closed isothermal reaction.Making use of integrability theories of semi-quasihomogeneous systems,we proved that the Lotka-Votterra model is a unique polynomial first integral.%考虑一类描述闭等温反应中振荡化学动力学行为的可逆 Lotka-Volterra模型的多项式首次积分,利用半拟齐次系统的可积性理论,找到 Lotka-Volterra模型的一个多项式首次积分,并证明了它是Lotka-Volterra模型唯一的多项式首次积分。
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