Stability Analysis and Symmetry Classification for a 2-Species Lotka-Volterra Model with Cross-diffusion
2021-10-20 03:26:12LIJina李吉娜JIXuehui姬雪暉WANGXueke王雪柯
應(yīng)用數(shù)學(xué) 2021年4期
LI Jina(李吉娜),JI Xuehui(姬雪暉),WANG Xueke(王雪柯)
(College of Science,Zhongyuan University of Technology,Zhengzhou 450007,China)
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.
Key words:Symmetry classification;Symmetry reduction;Lotka-Volterra model;Stability analysis
1.Introduction
2.Symmetry Classification of the System(1.1)
3.Reduction Examples
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