Computer simulation of two chemostat models for one nutrient resource

Chichurin, A. V.; Shvychkina, Helena N.

doi:10.1016/j.mbs.2016.05.004

Cited by 9 publications

(6 citation statements)

References 10 publications

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“…). According to publications, mathematical modeling is actively used for research in complex technical processes [10][11][12][13][14][15][16][17][18][19][20][21][22][23][24], in economics [9,25,26], in medicine [27,28]. In this paper, to study the process of reproduction of personnel potential in agriculture, we used a multifactorial correlation analysis.…”

Section: Resultsmentioning

confidence: 99%

Assessment of the influence of social factors on reproduction of personnel potential in agriculture of Russia

et al. 2019

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Based on the results of the PEST-analysis and methodological tools for determining the motives for the potential turnover of staff from agriculture, the dependence of the reproduction of personnel potential on social factors was revealed. Using the method of index analysis, the article developed a method for calculating the integral indicator of changes in social conditions in agriculture. Further, using the tools of mathematical modeling, its effect on the reproduction of personnel potential in the industry was proved.

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Section: Resultsmentioning

confidence: 99%

Assessment of the influence of social factors on reproduction of personnel potential in agriculture of Russia

et al. 2019

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“…At the moment, there are two options for solving nonlinear differential equations with moving singular points. The first option is related to the solvability in quadratures, which is allowed only in special cases [17][18][19][20][21][22][23]. The second option is associated with the author's analytical approximate solution method, successfully tested on a number of classes of nonlinear differential equations [15,[24][25][26][27][28].…”

Section: Introductionmentioning

confidence: 99%

Dependence of the Analytical Approximate Solution to the Van der Pol Equation on the Perturbation of a Moving Singular Point in the Complex Domain

Orlov

2023

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This paper considers a theoretical substantiation of the influence of a perturbation of a moving singular point on the analytical approximate solution to the Van der Pol equation obtained earlier by the author. A priori estimates of the error of the analytical approximate solution are obtained, which allows the solving of the inverse problem of the theory of error: what should the structure of the analytical approximate solution be in order to obtain a result with a given accuracy? Thanks to a new approach for obtaining a priori evaluations of errors, based on elements of differential calculus, the domain, used to obtain an analytical approximate solution, was substantially expanded. A variant of optimizing a priori estimates using a posteriori estimates is illustrated. The results of a numerical experiment are also presented.

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“…На сегодняшний день среди систем компьютерной алгебры лидирует Mathematica, которая является постоянно совершенствующейся системой. СКА Mathematica позволяет превратить весь материал, подготовленный для лекции: пояснения, уравнения, примеры, иллюстрации и демонстрации, в динамическую презентацию, которую можно оперативно изменять [1,2,3,4].…”

Section: Introductionunclassified

Использование Методов Компьютерной Алгебры В Лекциях «предел Числовой Последовательности И Функции»

Защук¹,

Жук²,

Махнист³

2023

Vestnik of Brest State Technical University. Civil Engineering

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РефератТемы, связанные с вычислением пределов числовых последовательностей и функций, студенты в техническом вузе начинают изучать в рамках дисциплин «Математический анализ», «Высшая математика» или «Математика».Учащиеся сталкиваются, например, с такими трудностями, как объединить свои неформальные представления об ограничениях, чтобы охватить сложность формального определения предела функции и последовательности.В данной работе авторы, используя методы компьютерной алгебры, предлагают различные способы визуализации пределов, вычислительные примеры, чтобы помочь учащимся понять важные аспекты формального определения предела числовой последовательности и функции.

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Computer simulation of two chemostat models for one nutrient resource

Cited by 9 publications

References 10 publications

Assessment of the influence of social factors on reproduction of personnel potential in agriculture of Russia

Assessment of the influence of social factors on reproduction of personnel potential in agriculture of Russia

Dependence of the Analytical Approximate Solution to the Van der Pol Equation on the Perturbation of a Moving Singular Point in the Complex Domain

Использование Методов Компьютерной Алгебры В Лекциях «предел Числовой Последовательности И Функции»

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