Global asymptotic stability of pseudo almost periodic solutions to a Lasota-Wazewska model with distributed delays
In this paper, we study a class of Lasota-Wazewska model with distributed delays, new criteria for the existence and global asymptotic stability of positive pseudo almost periodic solutions are established by using the fixed point method and the properties of pseudo almost periodic functions, togeth...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
University of Szeged
2015-08-01
|
| Series: | Electronic Journal of Qualitative Theory of Differential Equations |
| Subjects: | |
| Online Access: | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=3799 |
| _version_ | 1827951278325497856 |
|---|---|
| author | Zhiwen Long |
| author_facet | Zhiwen Long |
| author_sort | Zhiwen Long |
| collection | DOAJ |
| description | In this paper, we study a class of Lasota-Wazewska model with distributed delays, new criteria for the existence and global asymptotic stability of positive pseudo almost periodic solutions are established by using the fixed point method and the properties of pseudo almost periodic functions, together with constructing suitable Lyapunov function. Finally, we present an example with simulations to support the theoretical results. The obtained results are essentially new and they extend previously known results. |
| first_indexed | 2024-04-09T13:39:19Z |
| format | Article |
| id | doaj.art-4b2b34dd3bd64f8bb52230ac891b63ac |
| institution | Directory Open Access Journal |
| issn | 1417-3875 |
| language | English |
| last_indexed | 2024-04-09T13:39:19Z |
| publishDate | 2015-08-01 |
| publisher | University of Szeged |
| record_format | Article |
| series | Electronic Journal of Qualitative Theory of Differential Equations |
| spelling | doaj.art-4b2b34dd3bd64f8bb52230ac891b63ac2023-05-09T07:53:04ZengUniversity of SzegedElectronic Journal of Qualitative Theory of Differential Equations1417-38752015-08-0120155111310.14232/ejqtde.2015.1.513799Global asymptotic stability of pseudo almost periodic solutions to a Lasota-Wazewska model with distributed delaysZhiwen Long0College of Mathematics and Econometrics, Hunan University, Changsha, Hunan 410082, PR ChinaIn this paper, we study a class of Lasota-Wazewska model with distributed delays, new criteria for the existence and global asymptotic stability of positive pseudo almost periodic solutions are established by using the fixed point method and the properties of pseudo almost periodic functions, together with constructing suitable Lyapunov function. Finally, we present an example with simulations to support the theoretical results. The obtained results are essentially new and they extend previously known results.http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=3799lasota-wazewska model; pseudo almost periodic solution; global asymptotic stability; distributed delay |
| spellingShingle | Zhiwen Long Global asymptotic stability of pseudo almost periodic solutions to a Lasota-Wazewska model with distributed delays Electronic Journal of Qualitative Theory of Differential Equations lasota-wazewska model; pseudo almost periodic solution; global asymptotic stability; distributed delay |
| title | Global asymptotic stability of pseudo almost periodic solutions to a Lasota-Wazewska model with distributed delays |
| title_full | Global asymptotic stability of pseudo almost periodic solutions to a Lasota-Wazewska model with distributed delays |
| title_fullStr | Global asymptotic stability of pseudo almost periodic solutions to a Lasota-Wazewska model with distributed delays |
| title_full_unstemmed | Global asymptotic stability of pseudo almost periodic solutions to a Lasota-Wazewska model with distributed delays |
| title_short | Global asymptotic stability of pseudo almost periodic solutions to a Lasota-Wazewska model with distributed delays |
| title_sort | global asymptotic stability of pseudo almost periodic solutions to a lasota wazewska model with distributed delays |
| topic | lasota-wazewska model; pseudo almost periodic solution; global asymptotic stability; distributed delay |
| url | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=3799 |
| work_keys_str_mv | AT zhiwenlong globalasymptoticstabilityofpseudoalmostperiodicsolutionstoalasotawazewskamodelwithdistributeddelays |