@article{Kirjanen_Malafeyev_Redinskikh_2017, title={Developing industries in cooperative interaction: equilibrium and stability in processes with lag}, volume={5}, url={http://www.iapress.org/index.php/soic/article/view/soic.171205}, DOI={10.19139/soic.v5i4.357}, abstractNote={<span class="fontstyle0">A mathematical model of dynamic interaction between mining and processing industries is formalized and studied in the paper. The process of interaction is described by a system of two delay dierential equations. The criterion for asymptotic stability of nontrivial equilibrium point is obtained when both industries co-work steadily. The problem is reduced to nding stability criterion for quasi-polynomial of second order. Time intervals between deliveries of raw materials which make it possible to preserve stable interaction between the two industries are found.</span>}, number={4}, journal={Statistics, Optimization & Information Computing}, author={Kirjanen, Aleksandr and Malafeyev, Oleg and Redinskikh, Nadezhda}, year={2017}, month={Nov.}, pages={341-347} }