Dynamics of a stage structure prey-predator model with ratio-dependent functional response and anti-predator behavior of adult prey

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2021-01-01 DOI:10.3934/naco.2020033

P. Panja, Soovoojeet Jana, S. Mondal

引用次数: 8

Abstract

In this paper, a predator-prey interaction model among juvenile prey, adult prey and predator has been developed where stage structure is considered on prey species. The functional responses has been considered as ratio dependent. It is assumed that that the adult prey is strong enough such that it has an anti-predator characteristic. Global dynamics of the co-existing equilibrium point has been discussed with the help of the geometric approach. Furthermore, it is established that the proposed system undergoes through a Hopf bifurcation with respect to some important parameters. Finally, some numerical simulations have been done to test our theoretical results.

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具有比例依赖功能反应和成年猎物反捕食行为的阶段结构捕食-捕食模型动力学

本文建立了幼食饵、成年食饵和捕食者之间的捕食-食饵相互作用模型，考虑了食饵物种的阶段结构。功能响应被认为是比例相关的。据推测，成年猎物足够强壮，因此具有反捕食者的特征。利用几何方法讨论了共存平衡点的全局动力学问题。进一步证明了该系统对一些重要参数存在Hopf分岔。最后，通过数值模拟对理论结果进行了验证。

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

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.