线性范围上的“消费者-资源”数学模型及其在马铃薯晚疫病传播模型中的应用

IF 0.3 Q4 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

Vestnik Sankt-Peterburgskogo Universiteta Seriya 10 Prikladnaya Matematika Informatika Protsessy Upravleniya Pub Date : 2022-01-01 DOI:10.21638/11701/spbu10.2022.409

N. A. Gasratova

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引用次数: 0

摘要

给出了固定资源上均匀分布在线性区域上的消费者分布模型。该模型基于一类偏微分方程组的柯西问题。研究了系统的稳定性。该模型的物理基础是晚疫病在营养资源领域的传播。所考虑的过程的定性图像与建模所获得的现场数据相吻合。该模型描述的“消费者”发展甚至不是在当下，而是通过线性范围。这样就可以对受损场地进行评估。

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Mathematical model "consumer-resource" on a liner range and its application for modeling the spread of late blight of potato

A model of consumer distribution on a fixed resource, which is uniformly distributed through a linear area, is presented. The model is based on the Cauchy problem for a system of partial differential equations. The stability of the system is studied. The physical basis of the model is the spread of late blight over the territory of a trophic resource. A qualitative picture of the process under consideration coincides with field data obtained as a result of modeling. The model describes "consumer" development not even at the moment, but through linear range. Thus assesment of damaged field square is possible.

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来源期刊

Vestnik Sankt-Peterburgskogo Universiteta Seriya 10 Prikladnaya Matematika Informatika Protsessy Upravleniya MATHEMATICS, INTERDISCIPLINARY APPLICATIONS-

CiteScore

1.30

自引率

50.00%

发文量

期刊介绍： The journal is the prime outlet for the findings of scientists from the Faculty of applied mathematics and control processes of St. Petersburg State University. It publishes original contributions in all areas of applied mathematics, computer science and control. Vestnik St. Petersburg University: Applied Mathematics. Computer Science. Control Processes features articles that cover the major areas of applied mathematics, computer science and control.