Manisha Yadav, Pradeep Malik, Md. Jasim Uddin, Nehad Ali Shah
{"title":"Modeling and managing chaos: a fear-affected discretized prey–predator system with Allee Effect","authors":"Manisha Yadav, Pradeep Malik, Md. Jasim Uddin, Nehad Ali Shah","doi":"10.1140/epjp/s13360-025-06354-5","DOIUrl":null,"url":null,"abstract":"<div><p>This paper investigates the dynamics of a two-dimensional discretized prey–predator model, the effects of fear, and the Allee phenomenon in prey populations. A comprehensive analysis of equilibrium points and their stability is conducted, along with exploring bifurcation phenomena, including Flip and Neimark–Sacker bifurcations. The influence of complex network interactions on system dynamics is also examined. Numerical simulations reveal the presence of chaotic behavior under certain parametric conditions. To address this instability, the OGY chaos control method is applied to regulate chaos and stabilize the system. The results offer valuable insights into how fear effects, Allee thresholds, and network structures influence ecological systems, enhancing the understanding of population stability and chaotic fluctuations in predator–prey relationships.</p></div>","PeriodicalId":792,"journal":{"name":"The European Physical Journal Plus","volume":"140 5","pages":""},"PeriodicalIF":2.8000,"publicationDate":"2025-05-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"The European Physical Journal Plus","FirstCategoryId":"4","ListUrlMain":"https://link.springer.com/article/10.1140/epjp/s13360-025-06354-5","RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"PHYSICS, MULTIDISCIPLINARY","Score":null,"Total":0}
引用次数: 0
Abstract
This paper investigates the dynamics of a two-dimensional discretized prey–predator model, the effects of fear, and the Allee phenomenon in prey populations. A comprehensive analysis of equilibrium points and their stability is conducted, along with exploring bifurcation phenomena, including Flip and Neimark–Sacker bifurcations. The influence of complex network interactions on system dynamics is also examined. Numerical simulations reveal the presence of chaotic behavior under certain parametric conditions. To address this instability, the OGY chaos control method is applied to regulate chaos and stabilize the system. The results offer valuable insights into how fear effects, Allee thresholds, and network structures influence ecological systems, enhancing the understanding of population stability and chaotic fluctuations in predator–prey relationships.
期刊介绍：
The aims of this peer-reviewed online journal are to distribute and archive all relevant material required to document, assess, validate and reconstruct in detail the body of knowledge in the physical and related sciences.
The scope of EPJ Plus encompasses a broad landscape of fields and disciplines in the physical and related sciences - such as covered by the topical EPJ journals and with the explicit addition of geophysics, astrophysics, general relativity and cosmology, mathematical and quantum physics, classical and fluid mechanics, accelerator and medical physics, as well as physics techniques applied to any other topics, including energy, environment and cultural heritage.
求助内容：
应助结果提醒方式：
京公网安备 11010802042870号
