Dynamic complexities in a predator–prey model with prey refuge influenced by double Allee effects

IF 5.4 3区材料科学 Q2 CHEMISTRY, PHYSICAL

ACS Applied Energy Materials Pub Date : 2024-08-17 DOI:10.1016/j.matcom.2024.08.015

Gourav Mandal , Lakshmi Narayan Guin , Santabrata Chakravarty , Renji Han

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Abstract

Within the context of a two-dimensional framework encompassing interacting species, an examination is conducted in this study on the double Allee effect and prey refuge, considering both species in the interaction. The stability of the feasible equilibrium of the system and diverse bifurcation patterns including codimension-one and codimension-two bifurcations are scrutinized through theoretical and numerical investigations, which reveals the complex dynamics induced by saturated functional response and double Allee effects. Additionally, one-parameter bifurcation diagrams and two-parameter bifurcation diagrams are constructed to intricately evaluate the system’s dynamics indicative of the presence of multiple attractors like bi-stability and tri-stability. Lastly, the sensitivity analysis is performed to delve into the effect of system parameters on species density, which indicates that the parameter $η$ proportional to the conversion rate is the most sensitive parameter. A brief discussion further reveals that the model without double Allee effect reduces dynamic complexity.

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受双重阿利效应影响的捕食者-猎物模型中猎物避难所的动态复杂性

本研究在包含相互作用物种的二维框架内，考虑到相互作用中的两个物种，对双重阿利效应和猎物避难所进行了研究。通过理论和数值研究，对系统可行平衡的稳定性以及包括同维度一分岔和同维度二分岔在内的多种分岔模式进行了仔细研究，揭示了饱和功能响应和双阿利效应诱发的复杂动力学。此外，还构建了单参数分岔图和双参数分岔图，以复杂地评估系统的动态，表明存在双稳态和三稳态等多重吸引子。最后，进行了敏感性分析，以深入研究系统参数对物种密度的影响，结果表明，与转化率成正比的参数 η 是最敏感的参数。简短的讨论进一步表明，无双阿利效应的模型降低了动态复杂性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

ACS Applied Energy Materials Materials Science-Materials Chemistry

CiteScore

10.30

自引率

6.20%

发文量

1368

期刊介绍： ACS Applied Energy Materials is an interdisciplinary journal publishing original research covering all aspects of materials, engineering, chemistry, physics and biology relevant to energy conversion and storage. The journal is devoted to reports of new and original experimental and theoretical research of an applied nature that integrate knowledge in the areas of materials, engineering, physics, bioscience, and chemistry into important energy applications.