应用数学2021，Vol.34Issue(4)：863-869,7.
具有交叉扩散项的两种群Lotka-Volterra模型的对称分类和稳定性分析
Stability Analysis and Symmetry Classification for a 2-Species Lotka-Volterra Model with Cross-diffusion
摘要
Abstract
This paper studies a 2-species Lotka-Volterra model with cross-diffusion. The symmetry classification and symmetry reduction of the Lotka-Volterra model are considered by the generalized conditional symmetry. Then, the resulting Lotka-Volterra equations can be reduced to a system of ordinary differential equations. At last, the stability analysis and solutions of the Lotka-Volterra system are shown by two examples.关键词
对称分类/对称约化/Lotka-Volterra模型/稳定性分析Key words
Symmetry classification/Symmetry reduction/Lotka-Volterra model/Stability analysis分类
数理科学引用本文复制引用
李吉娜,姬雪晖,王雪柯..具有交叉扩散项的两种群Lotka-Volterra模型的对称分类和稳定性分析[J].应用数学,2021,34(4):863-869,7.基金项目
Supported by the National Natural Science Foundation of China under Grant(11701594,11947093),Training Plan for Key Young Teachers of Colleges and Universities in Henan Province(2019GGJS143),Key Research Projects of Henan Higher Education Institutions(21A110026) （11701594,11947093）
