捕食者
独特性
捕食
李雅普诺夫函数
理论(学习稳定性)
人口
霍普夫分叉
分叉
应用数学
数学
控制理论(社会学)
集合(抽象数据类型)
功能性反应
统计物理学
生态学
数学分析
生物
计算机科学
物理
非线性系统
控制(管理)
人工智能
人口学
量子力学
机器学习
社会学
程序设计语言
作者
Sabah Ali Rahi,Sefer Kurnaz,Raid Kamel Naji
出处
期刊:Applied Nanoscience
[Springer Science+Business Media]
日期:2022-02-05
卷期号:13 (4): 3131-3131
被引量:4
标识
DOI:10.1007/s13204-021-02160-4
摘要
A prey–predator interaction model has been suggested in which the population of a predator consists of a two-stage structure. Modified Holling’s disk equation is used to describe the consumption of the prey so that it involves the additional source of food for the predator. The fear function is imposed on prey. It is supposed that the prey exhibits anti-predator behavior and may kill the adult predator due to their struggle against predation. The proposed model is investigated for existence, uniqueness, and boundedness. After determining all feasible equilibrium points, the local stability analyses are performed. In addition, global stability analyses for this model using the Lyapunov method are investigated. The chance of occurrence of local bifurcation including Hopf bifurcation is investigated. Furthermore, to complete our study, the global dynamics of the model are investigated and the set of control parameters is set by conducting numerical simulations.
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