一类二次可逆Lotka-Volterra系统的全局相图  

The Global Phase Portraits of A Class of the Quadratic Reversible Lotka-Volterra Systems

作　　者：邵仪 吴泽敏 李文仙 SHAO Yi;WU Zemin;LIWenxian(School of Mathematics and Statistics,Zhaoqing University,Zhaoqing,Guangdong 526061,China)

机构地区：[1]肇庆学院数学与统计学院,广东肇庆526061

出　　处：《肇庆学院学报》2022年第2期15-22,共8页Journal of Zhaoqing University

基　　金：国家自然科学基金(71801186),肇庆学院大学生创新创业训练计划项目(S202010580039)。

摘　　要：利用微分方程定性理论,研究了一类二次可逆Lotka-Volterra系统在有限平面及无穷远平面的初等奇点、半双曲奇点以及幂零奇点,得到此系统有6类拓扑等价的全局相图.In this paper,we study elementary singularities,semi-hyperbolic singularities and nilpotent singularities of a class of the quadratic reversible Lotka-Volterra systems in finite plane and infinite plane by using qualitative theory of ordinary differential equation and conclude that this system has six cases of topologically different global phase portraits.

关 键 词：二次系统 奇点 全局相图 

分 类 号：O193[理学—数学]