阿利效应
霍普夫分叉
捕食
数学
功能性反应
理论(学习稳定性)
动力学(音乐)
应用数学
捕食者
分叉
统计物理学
复杂动力学
控制理论(社会学)
非线性系统
数学分析
人口
生态学
物理
计算机科学
生物
社会学
人口学
人工智能
机器学习
量子力学
控制(管理)
声学
作者
Yongli Cai,Weiming Wang,Jinfeng Wang
标识
DOI:10.1142/s1793524511001659
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.
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