Equilibrium and Stability of Entropy Operator Model for Migratory Interaction of Regional Systems

TY - JOUR

T1 - Equilibrium and Stability of Entropy Operator Model for Migratory Interaction of Regional Systems

AU - Popkov, Y.S.

AU - van Wissen, L.J.G.

PY - 2019/2

Y1 - 2019/2

N2 - In this paper, we develop a dynamic model for migratory interaction of regional systems that is based on an entropy operator. Next, we study the properties of this operator and establish the existence of a unique singular point in the dynamic entropy model. Here, we use monotonicity property of entropy operator on corresponding vector interval. We study Lyapunov stability of a dynamic system with entropy operator. Stability conditions have been obtained in terms of eigenvalues of linearized system’s matrix. Finally, we give an illustrative example for migratory interaction of regional systems.

AB - In this paper, we develop a dynamic model for migratory interaction of regional systems that is based on an entropy operator. Next, we study the properties of this operator and establish the existence of a unique singular point in the dynamic entropy model. Here, we use monotonicity property of entropy operator on corresponding vector interval. We study Lyapunov stability of a dynamic system with entropy operator. Stability conditions have been obtained in terms of eigenvalues of linearized system’s matrix. Finally, we give an illustrative example for migratory interaction of regional systems.

U2 - 10.3390/math7020130

DO - 10.3390/math7020130

M3 - Article

SN - 2227-7390

VL - 7

JO - Mathematics

JF - Mathematics

IS - 2

ER -