具有修正Leslie-Gower型的分数阶捕食者-食饵系统的动力学分析  

Dynamical analysis of a fractional-order predator-prey system with modified Leslie-Gower type

作　　者：杜争光[1] DU Zheng-guang(Department of Mathematics,Longnan Teachers College,Chengxian County 742500,China)

机构地区：[1]陇南师范高等专科学校数学系

出　　处：《高师理科学刊》2019年第9期19-23,共5页Journal of Science of Teachers＇College and University

摘　　要：讨论了一类具有修正Leslie-Gower型的分数阶捕食者-食饵系统.利用分数阶微分系统的稳定性理论,给出了该系统在平衡点稳定的条件,并对所有平衡点的稳定性进行了讨论.同时,对正平衡点附近的轨线进行了数值模拟.A fractional-order predator-prey system with modified Leslie-Gower type is investigated.By applying the stability theory of fractional-order differential systems,give some stability conditions of the system at equilibrium point,and discussed the stability of the equilibrium points.Moreover,the trajectory near the positive equilibrium point is simulated numerically.

关 键 词：分数阶 平衡点 稳定性 数值模拟 

分 类 号：O175[理学—数学]