带有时滞的非自治三种群Lotka-volterra混合模型的渐近性  

Asymptotic Behavior of a nonautonomous Three Species Lotka-volterra Mixecl Model with time Delays

作　　者：梁建秀[1] 

机构地区：[1]晋中学院数学学院,山西晋中030600

出　　处：《数学的实践与认识》2014年第24期316-319,共4页Mathematics in Practice and Theory

基　　金：山西省高等学校科技创新项目[2013156];山西省高等学校教学改革项目[J2013099]

摘　　要：讨论非自治的周期系数的Lotka-volterra三种群时滞混合摸型,种群间既有捕食关系又有竞争关系,当系数满足一定条件时模型的持久性,进而获得了模型正周期解存在与全局渐近稳定的充分条件,并举例说明条件的可行性.A nonautonomous Lotka-volterra three species mixecl model with delays is studied.With both competitive and predator-prey relationship,that model is uniform persistence under some appropriate conditions and sufficient conditions are established the existence of a positive periodic solution which is global asymptotic stability.An example is given in order to show the feasibility of those conditions.

关 键 词：一致持续生存 正周期解 全局渐近稳定 

分 类 号：Q148[生物学—生态学]