一类具有常数收获率的捕食者-食饵系统的Turing不稳定性  

The Turing instability in a class of predator-prey system with constant harvesting rate

作　　者：张丽丽 ZHANG Lili(School of Mathematics and Statistics,Longdong University,Qingyang 745000,China)

机构地区：[1]陇东学院数学与统计学院,甘肃庆阳745000

出　　处：《延边大学学报（自然科学版）》2018年第4期306-309,共4页Journal of Yanbian University（Natural Science Edition）

摘　　要：讨论了一类具有常数收获率的捕食者-食饵系统.利用Hopf分歧定理得到了ODE模型正平衡点的渐近稳定性和PDE模型的Turing不稳定性.In this paper,a class of predator-prey system with constant harvesting rate is discussed.The asymptotic stability of the positive equilibrium point of the ODE model and the Turing instability of the PDE model are obtained by using the Hopf bifurcation theorem.

关 键 词：捕食者食饵模型 收获率 扩散 Turing不稳定性 

分 类 号：O175.8[理学—数学]