带有扩散的两种群时滞生态模型的振动性  

Oscillations of time-lagging ecologic model of two species with diffusions

作　　者：王柏岩[1] 霍海峰 

机构地区：[1]甘肃工业大学基础科学系,甘肃兰州730050

出　　处：《甘肃工业大学学报》2001年第3期100-103,共4页Journal of Gansu University of Technology

摘　　要：对用偏泛函微分方程组所描述的密度分布非均匀的两种群相互作用生态模型进行了讨论 .通过利用时滞泛函微分不等式 ,研究了时滞生态模型的振动性 ,得到了其解关于正平衡态振动的简捷的充分判据 .Ecologic model of interaction of two species with nonuniform density distribution, which is defined by a partial functional differential equations system, is discussed. By using time lagging functional differential inequality, the oscillations of time lagging ecologic model is investigated and a simple sufficiency criterion of oscillation of the solution about the positive equilibrium mode is obtained.

关 键 词：时滞生态模型 扩散 振动性 群论 密度分布 生态平衡 

分 类 号：Q141[生物学—生态学] O152[生物学—普通生物学]