TIME OPTIMAL CONTROL STUDIES AND SENSITIVITY ANALYSIS OF ADDITIONAL FOOD PROVIDED PREY–PREDATOR SYSTEMS INVOLVING HOLLING TYPE III FUNCTIONAL RESPONSE BASED ON QUALITY OF ADDITIONAL FOOD

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2023-03-01 DOI:10.1142/s0218339023500134

V. Ananth, D. Vamsi

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引用次数: 0

Abstract

Research on additional food provided prey–predator systems has gained prominence over the years due to its relevance in the context of biological conservation and pest management. Studies in this area suggest that the system can be driven to any desired state asymptotically with appropriate quality and quantity of additional food. In this paper, we study the controllability aspects to drive the system to the desired state in minimum (finite) time to make the outcomes practically more viable. We consider an additional food provided prey–predator system involving Holling type III functional response and study its controllability based on the quality of additional food, keeping the quantity fixed. To that end, we first analyze the dynamics of the system based on quality. Then, we formulate and study a time optimal control problem with the quality of additional food as the control parameter by proving the existence of optimal control and studying its characteristics. Finally, we illustrate the theoretical findings of the work using numerical simulations.

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基于附加食物质量的HOLLINGⅢ型捕食系统的时间最优控制与灵敏度分析

多年来，由于其在生物保护和害虫管理方面的相关性，对额外食物提供的猎物-捕食者系统的研究变得越来越突出。该领域的研究表明，该系统可以在适当质量和数量的额外食物的情况下渐进地驱动到任何期望的状态。在本文中，我们研究了在最小（有限）时间内将系统驱动到所需状态的可控性方面，以使结果在实践中更可行。我们考虑了一个涉及Holling III型功能反应的额外食物提供的猎物-捕食者系统，并在保持数量不变的情况下，基于额外食物的质量来研究其可控性。为此，我们首先基于质量分析系统的动力学。然后，我们通过证明最优控制的存在性并研究其特征，提出并研究了一个以附加食物质量为控制参数的时间最优控制问题。最后，我们使用数值模拟来说明这项工作的理论发现。

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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.