周期系数三种群Lotka-Volterra混合模型的全局渐近稳定性

Global Asymptotic Stability of the Periodic Lotka-Volterra Three Species Mixed Model 

考虑三种群Ｌｏｔｋａ－Ｖｏｌｔｅｒａ周期系数模型，种群间既有捕食关系又有竞争关系，得到存在唯一全局渐近稳定周期解的条件。

The periodic Lotka-Volterra three species model with both competitive and predator prey relationships is considered.A set of easily verifiable sufficient conditions is obtained for the existence of the globally asymptotically stable periodic solution.Finally,an example is given to illustrate the feasibility of these conditions.