具有年龄结构的两种群模型平衡点的稳定性  

Stability of Equilibrium of Two-population Model with Age Structure

作　　者：郭鑫 史振霞[1] 程万鹏 GUO Xin;SHI Zhen-xia;CHENG Wan-peng(School of Mathematics and Physics,Lanzhou Jiaotong University,Lanzhou 730070,China)

机构地区：[1]兰州交通大学数理学院,甘肃兰州730070

出　　处：《兰州文理学院学报（自然科学版）》2021年第5期7-11,共5页Journal of Lanzhou University of Arts and Science(Natural Sciences)

摘　　要：利用特征值法以及Hurwitz法,研究了具有年龄结构的两种群互惠模型边界平衡点的稳定性,同时给出了判断两种群互惠模型正平衡点渐近稳定的一个充分条件.By using method of characteristic and Hurwitz method,the stability of boundary equilibrium of the two-population mutualism model with age structure was investigated and a sufficient condition to judge the linear asymptotic stability of positive equilibrium of the two-population mutualism model was given.

关 键 词：两种群互惠模型 稳定性 边界平衡点 正平衡点 

分 类 号：O175[理学—数学]