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

Yuri S. Popkov*, Leo van Wissen

*Corresponding author for this work

Research output: Contribution to journalArticleAcademicpeer-review

93 Downloads (Pure)

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.

Original languageEnglish
Article number130
Number of pages12
JournalMathematics
Volume7
Issue number2
DOIs
Publication statusPublished - Feb-2019

Keywords

  • migration
  • regional mobility
  • prior probabilities of migratory movements
  • dynamic system with entropy operator
  • monotonic operator
  • stability in small
  • singular point
  • MOBILITY

Cite this