BISTABILITY AND TRISTABILITY IN A PREDATOR–PREY MODEL WITH STRONG ALLEE EFFECT IN PREY

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2023-02-09 DOI:10.1142/s0218339023500110

Ruma Kumbhakar, Saheb Pal, Nikhil Pal, Pankaj Tiwari

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引用次数: 1

Abstract

Understanding the Allee effect on endangered species is crucial for ecological conservation and management as it highly affects the extinction of a population. Due to several ecological mechanisms accounting for the Allee effect, it is necessary to study the dynamics of a predator–prey model incorporating this phenomenon. In 1999, Cosner et al. [Effects of spatial grouping on the functional response of predators, Theor Popul Biol 56:65–75, 1999] derived a new kind of functional response by considering spatially grouped predators. This paper deals with the dynamical behavior of a predator–prey system with functional response proposed by Cosner et al., and the growth of the prey population suffers a strong Allee effect. We find that the system undergoes various types of bifurcations such as Hopf bifurcation, saddle-node bifurcation, and Bogdanov–Takens bifurcation. We also observe that the model exhibits bistability and two different types of tristability phenomena. Our findings reveal that for such a kind of multistability in ecological systems, the initial population size plays a crucial role and also impacts the system’s state in the long term.

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具有强ALLEE效应的捕食者-猎物模型的双稳态和三稳态

了解Allee对濒危物种的影响对生态保护和管理至关重要，因为它对种群的灭绝有很大影响。由于Allee效应的几种生态机制，有必要研究包含这一现象的捕食者-猎物模型的动力学。1999年，Cosner等人。[空间分组对捕食者功能反应的影响，Theor Popul Biol 56:65-751999]通过考虑空间分组的捕食者，得出了一种新的功能反应。本文研究了Cosner等人提出的具有功能响应的捕食者-被捕食系统的动力学行为。，并且猎物种群的增长受到强烈的Allee效应的影响。我们发现系统经历了各种类型的分叉，如Hopf分叉、鞍节点分叉和Bogdanov–Takens分叉。我们还观察到该模型表现出双稳态和两种不同类型的三稳态现象。我们的研究结果表明，对于生态系统中的这种多稳定性，初始种群规模起着至关重要的作用，也会影响系统的长期状态。

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来源期刊

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.