Dynamical complexities in a food chain model with schooling behavior: a study in a parameter plane

IF 2.9 3区物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY

The European Physical Journal Plus Pub Date : 2025-10-18 DOI:10.1140/epjp/s13360-025-06939-0

Subarna Roy, Ruma Kumbhakar, Sarbari Karmakar, Pankaj Kumar Tiwari, Nikhil Pal

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引用次数: 0

Abstract

The food chain provides crucial insights into the intricate interdependencies within ecosystems, guiding effective conservation and management strategies. The primary goal of this study is to investigate the dynamical complexities of a deterministic tri-trophic food chain model where the interaction between the prey and the middle predator is described using the Holling type-II response function, whereas Cosner functional response is used to describe the interaction between the middle and top predators. Bifurcation, Lyapunov exponent, and isospike diagrams reveal various kinds of dynamical behaviors of the system. Shrimp-shaped and spiral shrimp-shaped domains are observed in the chaotic zone of the parameter plane. The coexistence of various types of attractors and spike-bubbling phenomenon are also observed. The corresponding stochastic model is also studied in the presence of environmental noise. This study offers valuable information about the persistence and conservation of species in both deterministic and stochastic environments.

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具有学校行为的食物链模型的动态复杂性：参数平面上的研究

食物链为了解生态系统内错综复杂的相互依存关系提供了重要的见解，指导了有效的保护和管理战略。本研究的主要目的是探讨确定性三营养食物链模型的动态复杂性，其中猎物与中间捕食者之间的相互作用使用Holling ii型响应函数来描述，而中间和顶部捕食者之间的相互作用使用Cosner函数响应来描述。分岔图、李雅普诺夫指数图和等刺图揭示了系统的各种动力学行为。在参数平面的混沌区观察到虾形和螺旋虾形区域。还观察到各种吸引子的共存和尖泡现象。研究了环境噪声存在下的随机模型。这项研究为物种在确定性和随机环境中的持久性和保护提供了有价值的信息。

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来源期刊

The European Physical Journal Plus PHYSICS, MULTIDISCIPLINARY-

CiteScore

5.40

自引率

8.80%

发文量

1150

审稿时长

4-8 weeks

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.