Dynamical analysis of a stochastic prey-predator model with fear effect and feedback control.

IF 1.8 4区 数学 Q3 ECOLOGY
Journal of Biological Dynamics Pub Date : 2025-12-01 Epub Date: 2025-03-17 DOI:10.1080/17513758.2025.2479461
Yan Zhang, Feng Lai, Shujing Gao, Yang Liu, Shuixian Yan
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引用次数: 0

Abstract

In this work, the intricacies and complexities of dynamical properties are extensively studied for the proposed deterministic and stochastic prey-predator models. The influence of fear effects, prey refuge and feedback control are considered and thorough theoretical research is conducted on the systems. It commences by establishing the global stability and uniqueness of the positive equilibrium of the deterministic model. Then for the stochastic system, the existence, uniqueness and boundedness of a global positive solution are analysed by constructing appropriate Lyapunov functions. Sufficient conditions are established for the extinction and persistence of the stochastic model. It can be observed that both the fear effect and prey refuge have a greatly impact on the dynamics of system. Intermediate values of feedback control intensity may be the most beneficial to species coexistence. It provides new insights into the sustainability of ecosystems.

具有恐惧效应和反馈控制的随机捕食-捕食模型动力学分析。
在这项工作中,广泛研究了所提出的确定性和随机猎物-捕食者模型的复杂性和动力学特性。考虑了恐惧效应、猎物庇护和反馈控制的影响,对系统进行了深入的理论研究。首先建立了确定性模型正平衡的全局稳定性和唯一性。然后通过构造适当的Lyapunov函数,分析了随机系统整体正解的存在性、唯一性和有界性。建立了随机模型消隐和持续的充分条件。可以看出,恐惧效应和猎物避难对系统动力学都有很大的影响。反馈控制强度的中间值可能最有利于物种共存。它为生态系统的可持续性提供了新的见解。
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
Journal of Biological Dynamics
Journal of Biological Dynamics ECOLOGY-MATHEMATICAL & COMPUTATIONAL BIOLOGY
CiteScore
4.90
自引率
3.60%
发文量
28
审稿时长
33 weeks
期刊介绍: Journal of Biological Dynamics, an open access journal, publishes state of the art papers dealing with the analysis of dynamic models that arise from biological processes. The Journal focuses on dynamic phenomena at scales ranging from the level of individual organisms to that of populations, communities, and ecosystems in the fields of ecology and evolutionary biology, population dynamics, epidemiology, immunology, neuroscience, environmental science, and animal behavior. Papers in other areas are acceptable at the editors’ discretion. In addition to papers that analyze original mathematical models and develop new theories and analytic methods, the Journal welcomes papers that connect mathematical modeling and analysis to experimental and observational data. The Journal also publishes short notes, expository and review articles, book reviews and a section on open problems.
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