Dynamical Analysis of an Allelopathic Phytoplankton Model with Fear Effect

IF 16.4 1区 化学 Q1 CHEMISTRY, MULTIDISCIPLINARY
Shangming Chen, Fengde Chen, Vaibhava Srivastava, Rana D. Parshad
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引用次数: 0

Abstract

This paper is the first to propose an allelopathic phytoplankton competition ODE model influenced by the fear effect based on natural biological phenomena. It is shown that the interplay of this fear effect and the allelopathic term cause rich dynamics in the proposed competition model, such as global stability, transcritical bifurcation, pitchfork bifurcation, and saddle-node bifurcation. We also consider the spatially explicit version of the model and prove analogous results. Numerical simulations verify the feasibility of the theoretical analysis. The results demonstrate that the primary cause of the extinction of non-toxic species is the fear of toxic species compared to toxins. Allelopathy only affects the density of non-toxic species. The discussion guides the conservation of species and the maintenance of biodiversity.

Abstract Image

具有恐惧效应的异莱尔浮游植物模型的动力学分析
本文首次根据自然生物现象提出了受恐惧效应影响的浮游植物等位竞争 ODE 模型。结果表明,这种恐惧效应和等效项的相互作用导致所提出的竞争模型具有丰富的动力学特性,如全局稳定性、跨临界分岔、杈形分岔和鞍节点分岔。我们还考虑了该模型的空间显式版本,并证明了类似的结果。数值模拟验证了理论分析的可行性。结果表明,与毒素相比,无毒物种灭绝的主要原因是对有毒物种的恐惧。异化作用只影响无毒物种的密度。讨论为保护物种和维护生物多样性提供了指导。
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来源期刊
Accounts of Chemical Research
Accounts of Chemical Research 化学-化学综合
CiteScore
31.40
自引率
1.10%
发文量
312
审稿时长
2 months
期刊介绍: Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.
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