TY - JOUR
AU - Aleksandr Kirjanen
AU - Oleg Malafeyev
AU - Nadezhda Redinskikh
PY - 2017/11/30
Y2 - 2021/06/12
TI - Developing industries in cooperative interaction: equilibrium and stability in processes with lag
JF - Statistics, Optimization & Information Computing
JA - Stat., optim. inf. comput.
VL - 5
IS - 4
SE - Research Articles
DO - 10.19139/soic.v5i4.357
UR - http://www.iapress.org/index.php/soic/article/view/soic.171205
AB - 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.
ER -