55112

Автор(ы): 

Автор(ов): 

2

Параметры публикации

Тип публикации: 

Статья в журнале/сборнике

Название: 

Equilibrium and stability of entropy operator model for migratory interaction of regional systems

ISBN/ISSN: 

2227-7390

DOI: 

10.3390/math7020130

Наименование источника: 

  • Mathematics

Обозначение и номер тома: 

Т. 7, № 2

Город: 

  • Bazel

Издательство: 

  • MDPI

Год издания: 

2019

Страницы: 

130-135
Аннотация
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 as well as 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 term of eigenvalues of linearized system’s matrix. Finally, we give an illustrative example for migratory interaction of regional systems.

Библиографическая ссылка: 

Попков Ю.С., van Wissen L. Equilibrium and stability of entropy operator model for migratory interaction of regional systems // Mathematics. 2019. Т. 7, № 2. С. 130-135.