DYNAMICS OF A DIFFUSIVE PREDATOR-PREY MODEL WITH ADDITIVE ALLEE EFFECT

作     者：YONGLI CAI WEIMING WANG JINFENG WANG 

作者机构：College of Mathematics and Information Science Wenzhou University Wenzhou 325035P.R.China Department of Mathematics Harbin Normal University Harbin 150001P.R.China 

出 版 物：《International Journal of Biomathematics》 (生物数学学报（英文版）)

年 卷 期：2012年第5卷第2期

页      面：105-115页

核心收录：

学科分类：090502[农学-动物营养与饲料科学] 07[理学] 0905[农学-畜牧学] 09[农学] 070104[理学-应用数学] 0701[理学-数学] 

主　　题：Allee effect predator prey model global stability Hopf bifurcation. 

摘      要：In this paper, we investigate the dynamics of a diffusive predator prey model with Holling-II functional response and the additive Allee effect in prey. We show the local and global asymptotical stability of the positive equilibrium, and give the conditions of the existence of the Hopf bifurcation. By carrying out global qualitative and bifurcation analysis, it is shown that the weak and strong Allee effects in prey can induce different dynamical behavior in the predator-prey model. Furthermore, we use some numerical simulations to illustrate the dynamics of the model. The results may be helpful for controlling and managing the predator-prey system.