捕食
捕食者
霍普夫分叉
极限环
数学
应用数学
人口
极限(数学)
理论(学习稳定性)
控制理论(社会学)
功能性反应
持久性(不连续性)
分叉
生态学
数学分析
经济
生物
物理
计算机科学
人口学
非线性系统
社会学
工程类
岩土工程
管理
控制(管理)
机器学习
量子力学
作者
Huisen Zhang,Yongli Cai,Shengmao Fu,Weiming Wang
标识
DOI:10.1016/j.amc.2019.03.034
摘要
In this paper, we investigate the influence of anti-predator behaviour due to the fear of predators with a Holling-type-II prey-predator model incorporating a prey refuge. We first provide the existence and stability of equilibria of the model. Next, we give the existence of Hopf bifurcation and limit cycle. In addition, we study the impact of the fear effect on the model analytically and numerically, and find that the fear effect can not only reduce the population density of predator at the positive equilibrium, but also stabilize the system by excluding the existence of periodic solutions. Moreover, we also find that prey refuge has great impact on the persistence of the predator.
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