关键词: Lotka-Volterra模型, 半拟齐次系统, 首次积分

Abstract:

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.

Key words: Lotka-Volterra model, semi-quasihomogeneous system; first integral