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...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2020-06-01
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| Series: | Advances in Difference Equations |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s13662-020-02721-x |
| _version_ | 1819011027773161472 |
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| author | Wentao Wang Guifeng Deng Wei Chen |
| author_facet | Wentao Wang Guifeng Deng Wei Chen |
| author_sort | Wentao Wang |
| collection | DOAJ |
| 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. |
| first_indexed | 2024-12-21T01:21:38Z |
| format | Article |
| id | doaj.art-b4ae976d016c425d9046d17a87695c7b |
| institution | Directory Open Access Journal |
| issn | 1687-1847 |
| language | English |
| last_indexed | 2024-12-21T01:21:38Z |
| publishDate | 2020-06-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Advances in Difference Equations |
| spelling | doaj.art-b4ae976d016c425d9046d17a87695c7b2022-12-21T19:20:38ZengSpringerOpenAdvances 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 |
| 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 |
| title | 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_short | Markov switched stochastic Nicholson-type delay system with patch structure |
| title_sort | markov switched stochastic nicholson type delay system with patch structure |
| topic | Nicholson-type delay system Markov switching Ultimate boundedness Lyapunov exponent |
| url | http://link.springer.com/article/10.1186/s13662-020-02721-x |
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