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

Yuri S. Popkov and Leo van Wissen
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Yuri S. Popkov: Institute for Systems Analysis of FRC CSC of RAS, Moscow 119333, Russia
Leo van Wissen: Department of Engineering, Haifa University, Karmiel 2161002, Israel

Mathematics, 2019, vol. 7, issue 2, 1-12

Abstract: 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.

Keywords: migration; regional mobility; prior probabilities of migratory movements; dynamic system with entropy operator; monotonic operator; stability in small; singular point (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
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