具有Holling Ⅳ型功能反应的分数阶捕食者-食饵模型的动力学分析  

DYNAMICAL ANALYSIS OF A FRACTIONAL-ORDER PREDATOR-PREY MODEL WITH HOLLING Ⅳ FUNCTIONAL RESPONSE

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

机构地区：[1]陇南师范高等专科学校数学系

出　　处：《井冈山大学学报（自然科学版）》2019年第3期9-13,23,共6页Journal of Jinggangshan University (Natural Science)

摘　　要：讨论了一类具有Holling Ⅳ型功能反应和Leslie-Gower数值反应的分数阶捕食者-食饵模型。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必要条件和充分条件。数值模拟也体现了分数阶微分系统的复杂性和丰富性。A fractional-order predator-prey model with Holling Ⅳ functional response and Leslie-Gower type numerical responses is investigated. By applying the stability theory of fractional-orderdifferential systems, we give some necessary conditions and sufficient conditions for the stability of the equilibrium point. Moreover, the numerical simulation also shows that the complexity and richness of the fractional-order differential systems.

关 键 词：分数阶 平衡点 稳定性 HOLLING Ⅳ型功能反应 

分 类 号：O157.13[理学—数学]