Global Attractivity for Lasota–Wazewska-Type System with Patch Structure and Multiple Time-Varying Delays
This paper aims to study the asymptotic behavior of Lasota–Wazewska-type system with patch structure and multiple time-varying delays. Based on the fluctuation lemma and some differential inequality techniques, we prove that the positive equilibrium is a global attractor of the addressed system with...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2020-01-01
|
| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2020/1947809 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832563145597517824 |
|---|---|
| author | Zhiwen Long Yanxiang Tan |
| author_facet | Zhiwen Long Yanxiang Tan |
| author_sort | Zhiwen Long |
| collection | DOAJ |
| description | This paper aims to study the asymptotic behavior of Lasota–Wazewska-type system with patch structure and multiple time-varying delays. Based on the fluctuation lemma and some differential inequality techniques, we prove that the positive equilibrium is a global attractor of the addressed system with small time delay. Finally, we provide an example to illustrate the feasibility of the theoretical results. |
| format | Article |
| id | doaj-art-4a509bbbcfe84652bdcf8f8414e6f011 |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-4a509bbbcfe84652bdcf8f8414e6f0112025-02-03T01:20:47ZengWileyComplexity1076-27871099-05262020-01-01202010.1155/2020/19478091947809Global Attractivity for Lasota–Wazewska-Type System with Patch Structure and Multiple Time-Varying DelaysZhiwen Long0Yanxiang Tan1School of Mathematics and Finance, Hunan University of Humanities, Science and Technology, Loudi, Hunan 417000, ChinaSchool of Mathematics and Statistics, Changsha University of Science and Technology, Changsha, Hunan 410114, ChinaThis paper aims to study the asymptotic behavior of Lasota–Wazewska-type system with patch structure and multiple time-varying delays. Based on the fluctuation lemma and some differential inequality techniques, we prove that the positive equilibrium is a global attractor of the addressed system with small time delay. Finally, we provide an example to illustrate the feasibility of the theoretical results.http://dx.doi.org/10.1155/2020/1947809 |
| spellingShingle | Zhiwen Long Yanxiang Tan Global Attractivity for Lasota–Wazewska-Type System with Patch Structure and Multiple Time-Varying Delays Complexity |
| title | Global Attractivity for Lasota–Wazewska-Type System with Patch Structure and Multiple Time-Varying Delays |
| title_full | Global Attractivity for Lasota–Wazewska-Type System with Patch Structure and Multiple Time-Varying Delays |
| title_fullStr | Global Attractivity for Lasota–Wazewska-Type System with Patch Structure and Multiple Time-Varying Delays |
| title_full_unstemmed | Global Attractivity for Lasota–Wazewska-Type System with Patch Structure and Multiple Time-Varying Delays |
| title_short | Global Attractivity for Lasota–Wazewska-Type System with Patch Structure and Multiple Time-Varying Delays |
| title_sort | global attractivity for lasota wazewska type system with patch structure and multiple time varying delays |
| url | http://dx.doi.org/10.1155/2020/1947809 |
| work_keys_str_mv | AT zhiwenlong globalattractivityforlasotawazewskatypesystemwithpatchstructureandmultipletimevaryingdelays AT yanxiangtan globalattractivityforlasotawazewskatypesystemwithpatchstructureandmultipletimevaryingdelays |