Markov switched stochastic Nicholson-type delay system with patch structure

Abstract Considering stochastic perturbations of white and color noises, we introduce the Markov switched stochastic Nicholson-type delay system with patch structure. By constructing a traditional Lyapunov function we show that solutions of the addressed system are not only positive, but also do not...

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Main Authors:	Wentao Wang, Guifeng Deng, Wei Chen
Format:	Article
Language:	English
Published:	SpringerOpen 2020-06-01
Series:	Advances in Difference Equations
Subjects:	Nicholson-type delay system Markov switching Ultimate boundedness Lyapunov exponent
Online Access:	http://link.springer.com/article/10.1186/s13662-020-02721-x

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spelling	doaj-b4ae976d016c425d9046d17a87695c7b2020-11-25T02:46:59ZengSpringerOpenAdvances in Difference Equations1687-18472020-06-012020111210.1186/s13662-020-02721-xMarkov switched stochastic Nicholson-type delay system with patch structureWentao Wang0Guifeng Deng1Wei Chen2School of Mathematics, Physics and Statistics, Shanghai University of Engineering ScienceSchool of Statistics and Mathematics, Shanghai Lixin University of Accounting and FinanceSchool of Statistics and Mathematics, Shanghai Lixin University of Accounting and FinanceAbstract Considering stochastic perturbations of white and color noises, we introduce the Markov switched stochastic Nicholson-type delay system with patch structure. By constructing a traditional Lyapunov function we show that solutions of the addressed system are not only positive, but also do not explode to infinity in finite time and, in fact, are ultimately bounded. Then we estimate its ultimate boundedness, moment, and Lyapunov exponent. Finally, we present an example of numerical simulations to verify theoretical results.http://link.springer.com/article/10.1186/s13662-020-02721-xNicholson-type delay systemMarkov switchingUltimate boundednessLyapunov exponent
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Wentao Wang Guifeng Deng Wei Chen
spellingShingle	Wentao Wang Guifeng Deng Wei Chen Markov switched stochastic Nicholson-type delay system with patch structure Advances in Difference Equations Nicholson-type delay system Markov switching Ultimate boundedness Lyapunov exponent
author_facet	Wentao Wang Guifeng Deng Wei Chen
author_sort	Wentao Wang
title	Markov switched stochastic Nicholson-type delay system with patch structure
title_short	Markov switched stochastic Nicholson-type delay system with patch structure
title_full	Markov switched stochastic Nicholson-type delay system with patch structure
title_fullStr	Markov switched stochastic Nicholson-type delay system with patch structure
title_full_unstemmed	Markov switched stochastic Nicholson-type delay system with patch structure
title_sort	markov switched stochastic nicholson-type delay system with patch structure
publisher	SpringerOpen
series	Advances in Difference Equations
issn	1687-1847
publishDate	2020-06-01
description	Abstract Considering stochastic perturbations of white and color noises, we introduce the Markov switched stochastic Nicholson-type delay system with patch structure. By constructing a traditional Lyapunov function we show that solutions of the addressed system are not only positive, but also do not explode to infinity in finite time and, in fact, are ultimately bounded. Then we estimate its ultimate boundedness, moment, and Lyapunov exponent. Finally, we present an example of numerical simulations to verify theoretical results.
topic	Nicholson-type delay system Markov switching Ultimate boundedness Lyapunov exponent
url	http://link.springer.com/article/10.1186/s13662-020-02721-x
work_keys_str_mv	AT wentaowang markovswitchedstochasticnicholsontypedelaysystemwithpatchstructure AT guifengdeng markovswitchedstochasticnicholsontypedelaysystemwithpatchstructure AT weichen markovswitchedstochasticnicholsontypedelaysystemwithpatchstructure
_version_	1724755458517893120

Markov switched stochastic Nicholson-type delay system with patch structure

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