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 language | English |
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Number of pages | 12 |
Journal | Mathematics |
Volume | 7 |
Issue number | 2 |
Early online date | 29 Jan 2019 |
DOIs | |
Publication status | Published - Feb 2019 |