具有广义Holling III型功能反应的Leslie捕食–食饵系统的平衡点分类和稳定性分析  

Classification and Stability Analysis of Equilibrium Points in a Leslie Predator-Prey System with Generalized Holling Type III Functional Response

作　　者：潘陈蓉 陈松林 

机构地区：[1]安徽工业大学,数理科学与工程学院,安徽 马鞍山

出　　处：《应用数学进展》2019年第10期1625-1631,共7页Advances in Applied Mathematics

摘　　要：在本文中,我们考虑一个具有Holling III型功能反应的Leslie型捕食–食饵系统。我们通过对原系统构造合适的变量变换,将其化为一个等价的系统。通过对等价系统的平衡点分类和稳定性进行分析,我们得出了原系统的平衡点分类和稳定性结果。In this paper, we consider a Leslie predator-prey system with Holling type III functional response. We construct a suitable variable transformation for the original system, and then obtain an equivalent system. By investigating the classification and stability of the equilibrium points of the equivalent system, we derive the results on the classification and stability of the equilibrium points of the original system.

关 键 词：Leslie型捕食者–食饵系统 变量变换 平衡点 稳定性 

分 类 号：O17[理学—数学]