E3S Web Conf.
Volume 193, 2020International Conference on Modern Trends in Manufacturing Technologies and Equipment (ICMTMTE 2020)
|Number of page(s)||10|
|Published online||08 October 2020|
Dynamics of competitive interaction between two mining enterprises and one processing: existence and stability of the equilibrium point
Saint-Petersburg State University, 7/9 Universitetskaya nab., Saint-Petersburg, 199034, Russia
2 Stavropol State Agrarian University, 12 Zootechnicheskiy Ln, Stavropol, Russia, 355017
* Corresponding author: firstname.lastname@example.org
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.
© The Authors, published by EDP Sciences, 2020
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.