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 1.3 4区数学 Q3 BIOLOGY

Journal of Biological Systems 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。

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 Systems 生物-生物学

CiteScore

2.80

自引率

12.50%

发文量

审稿时长

1 months

期刊介绍： The Journal of Biological Systems is published quarterly. The goal of the Journal is to promote interdisciplinary approaches in Biology and in Medicine, and the study of biological situations with a variety of tools, including mathematical and general systems methods. The Journal solicits original research papers and survey articles in areas that include (but are not limited to): Complex systems studies; isomorphies; nonlinear dynamics; entropy; mathematical tools and systems theories with applications in Biology and Medicine. Interdisciplinary approaches in Biology and Medicine; transfer of methods from one discipline to another; integration of biological levels, from atomic to molecular, macromolecular, cellular, and organic levels; animal biology; plant biology. Environmental studies; relationships between individuals, populations, communities and ecosystems; bioeconomics, management of renewable resources; hierarchy theory; integration of spatial and time scales. Evolutionary biology; co-evolutions; genetics and evolution; branching processes and phyllotaxis. Medical systems; physiology; cardiac modeling; computer models in Medicine; cancer research; epidemiology. Numerical simulations and computations; numerical study and analysis of biological data. Epistemology; history of science. The journal will also publish book reviews.