具有永久和脉冲收获的球面 KPP 模型中时间平均收获最大值的存在性

IF 0.5 4区数学 Q3 MATHEMATICS

Doklady Mathematics Pub Date : 2024-03-14 DOI:10.1134/S1064562423701387

E. V. Vinnikov, A. A. Davydov, D. V. Tunitsky

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引用次数: 0

摘要

摘要在一个二维球体上考虑任何性质的分布式可再生资源。该资源的动态由 Kolmogorov-Petrovsky-Piskunov-Fisher 型模型描述，资源的开发利用是通过恒定或周期性脉冲采伐进行的。研究表明，在选择一种可接受的开采策略后，资源的动力学趋向于与该策略相对应的极限动力学，并且存在一种可接受的收获策略，该策略可使资源的时间平均收获量最大化。

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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Existence of a Maximum of Time-Averaged Harvesting in the KPP Model on Sphere with Permanent and Impulse Harvesting

A distributed renewable resource of any nature is considered on a two-dimensional sphere. Its dynamics is described by a model of the Kolmogorov–Petrovsky–Piskunov–Fisher type, and the exploitation of this resource is carried out by constant or periodic impulse harvesting. It is shown that, after choosing an admissible exploitation strategy, the dynamics of the resource tend to limiting dynamics corresponding to this strategy and there is an admissible harvesting strategy that maximizes the time-averaged harvesting of the resource.

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来源期刊

Doklady Mathematics 数学-数学

CiteScore

1.00

自引率

16.70%

发文量

审稿时长

3-6 weeks

期刊介绍： Doklady Mathematics is a journal of the Presidium of the Russian Academy of Sciences. It contains English translations of papers published in Doklady Akademii Nauk (Proceedings of the Russian Academy of Sciences), which was founded in 1933 and is published 36 times a year. Doklady Mathematics includes the materials from the following areas: mathematics, mathematical physics, computer science, control theory, and computers. It publishes brief scientific reports on previously unpublished significant new research in mathematics and its applications. The main contributors to the journal are Members of the RAS, Corresponding Members of the RAS, and scientists from the former Soviet Union and other foreign countries. Among the contributors are the outstanding Russian mathematicians.