具有合作捕食行为的分数阶捕食者-食饵模型的稳定性分析  

Stability analysis of a fractional-order predator-prey model with cooperative predator

作　　者：杜争光[1] DU Zhengguang(Department of Mathematics,Longnan Teachers College,Longnan Gansu 742500)

机构地区：[1]陇南师范高等专科学校数学系

出　　处：《宁夏师范学院学报》2019年第10期5-8,共4页Journal of Ningxia Normal University

摘　　要：讨论了一类具有合作捕食行为的分数阶捕食者-食饵模型.利用分数阶微分方程系统的稳定性理论,给出了该系统在平衡点稳定的必要条件和充分条件,并讨论了平衡点的稳定性.A fractional-order predator-prey model with cooperative predator behavior is investigated.By applying the stability theory of fractional-order differential systems,we give some necessary conditions and sufficient conditions for the stability of the equilibrium points,and discuss the stability of equilibrium points.

关 键 词：分数阶 平衡点 稳定性 食者-食饵模型 

分 类 号：O157.13[理学—数学]