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Dynamics of competitive interaction between two mining enterprises and one processing : Existence and stability of the equilibrium point. / Kirjanen, Aleksandr; Malafeyev, Oleg; Zaitseva, Irina; Kovshov, Aleksandr; Kolesov, Dmitry.

в: E3S Web of Conferences, Том 193, 01051, 08.10.2020.

Результаты исследований: Научные публикации в периодических изданиях › статья в журнале по материалам конференции › Рецензирование

Harvard

Kirjanen, A, Malafeyev, O, Zaitseva, I, Kovshov, A & Kolesov, D 2020, 'Dynamics of competitive interaction between two mining enterprises and one processing: Existence and stability of the equilibrium point', E3S Web of Conferences, Том. 193, 01051. https://doi.org/10.1051/e3sconf/202019301051

APA

Kirjanen, A., Malafeyev, O., Zaitseva, I., Kovshov, A., & Kolesov, D. (2020). Dynamics of competitive interaction between two mining enterprises and one processing: Existence and stability of the equilibrium point. E3S Web of Conferences, 193, [01051]. https://doi.org/10.1051/e3sconf/202019301051

Vancouver

Kirjanen A, Malafeyev O, Zaitseva I, Kovshov A, Kolesov D. Dynamics of competitive interaction between two mining enterprises and one processing: Existence and stability of the equilibrium point. E3S Web of Conferences. 2020 Окт. 8;193. 01051. https://doi.org/10.1051/e3sconf/202019301051

Author

Kirjanen, Aleksandr ; Malafeyev, Oleg ; Zaitseva, Irina ; Kovshov, Aleksandr ; Kolesov, Dmitry. / Dynamics of competitive interaction between two mining enterprises and one processing : Existence and stability of the equilibrium point. в: E3S Web of Conferences. 2020 ; Том 193.

BibTeX

@article{329683cb9e4e45f4871f6fc454cf486a,
title = "Dynamics of competitive interaction between two mining enterprises and one processing: Existence and stability of the equilibrium point",
abstract = "A mathematical model of dynamic interaction between two mining enterprises and one processing is formalized and studied in the paper. The process of interaction is described by a system of three delay differential equations. The criterion for asymptotic stability of nontrivial equilibrium point is obtained when all three enterprises co-work steadily. The problem is reduced to finding stability criterion for quasi-polynomial of third order. We found time intervals between deliveries of raw materials and manufacturing of finished products, in which the process of interaction of the three agents is stable. ",
author = "Aleksandr Kirjanen and Oleg Malafeyev and Irina Zaitseva and Aleksandr Kovshov and Dmitry Kolesov",
note = "Publisher Copyright: {\textcopyright} The Authors, published by EDP Sciences, 2020. Copyright: Copyright 2020 Elsevier B.V., All rights reserved.; 2020 International Conference on Modern Trends in Manufacturing Technologies and Equipment, ICMTMTE 2020 ; Conference date: 07-09-2020 Through 11-09-2020",
year = "2020",
month = oct,
day = "8",
doi = "10.1051/e3sconf/202019301051",
language = "English",
volume = "193",
journal = "E3S Web of Conferences",
issn = "2555-0403",
publisher = "EDP Sciences",

}

RIS

TY - JOUR

T1 - Dynamics of competitive interaction between two mining enterprises and one processing

T2 - 2020 International Conference on Modern Trends in Manufacturing Technologies and Equipment, ICMTMTE 2020

AU - Kirjanen, Aleksandr

AU - Malafeyev, Oleg

AU - Zaitseva, Irina

AU - Kovshov, Aleksandr

AU - Kolesov, Dmitry

N1 - Publisher Copyright: © The Authors, published by EDP Sciences, 2020. Copyright: Copyright 2020 Elsevier B.V., All rights reserved.

PY - 2020/10/8

Y1 - 2020/10/8

N2 - A mathematical model of dynamic interaction between two mining enterprises and one processing is formalized and studied in the paper. The process of interaction is described by a system of three delay differential equations. The criterion for asymptotic stability of nontrivial equilibrium point is obtained when all three enterprises co-work steadily. The problem is reduced to finding stability criterion for quasi-polynomial of third order. We found time intervals between deliveries of raw materials and manufacturing of finished products, in which the process of interaction of the three agents is stable.

AB - A mathematical model of dynamic interaction between two mining enterprises and one processing is formalized and studied in the paper. The process of interaction is described by a system of three delay differential equations. The criterion for asymptotic stability of nontrivial equilibrium point is obtained when all three enterprises co-work steadily. The problem is reduced to finding stability criterion for quasi-polynomial of third order. We found time intervals between deliveries of raw materials and manufacturing of finished products, in which the process of interaction of the three agents is stable.

UR - http://www.scopus.com/inward/record.url?scp=85097152730&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/59651733-685e-3c2c-bf43-f6bfb51a8685/

U2 - 10.1051/e3sconf/202019301051

DO - 10.1051/e3sconf/202019301051

M3 - Conference article

AN - SCOPUS:85097152730

VL - 193

JO - E3S Web of Conferences

JF - E3S Web of Conferences

SN - 2555-0403

M1 - 01051

Y2 - 7 September 2020 through 11 September 2020

ER -

ID: 71871753