Existence of positive almost periodic solutions for delay Lotka-Volterra cooperative systems
In this article, we study a Lotka-Volterra cooperative system of equations with time-varying delays and distributed delays. By using Mawhin's continuation theorem of coincidence degree theory, we obtain sufficient conditions for the existence of positive almost periodic solutions. Also we p...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2013-07-01
|
| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2013/157/abstr.html |
| _version_ | 1818937891624058880 |
|---|---|
| author | Kaihong Zhao Juqing Liu |
| author_facet | Kaihong Zhao Juqing Liu |
| author_sort | Kaihong Zhao |
| collection | DOAJ |
| description | In this article, we study a Lotka-Volterra cooperative system of equations with time-varying delays and distributed delays. By using Mawhin's continuation theorem of coincidence degree theory, we obtain sufficient conditions for the existence of positive almost periodic solutions. Also we present an example to illustrate our results. |
| first_indexed | 2024-12-20T05:59:10Z |
| format | Article |
| id | doaj.art-c7c7a1f235e14e06acb38da865bf6b71 |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-12-20T05:59:10Z |
| publishDate | 2013-07-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-c7c7a1f235e14e06acb38da865bf6b712022-12-21T19:50:57ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912013-07-012013157,113Existence of positive almost periodic solutions for delay Lotka-Volterra cooperative systemsKaihong ZhaoJuqing LiuIn this article, we study a Lotka-Volterra cooperative system of equations with time-varying delays and distributed delays. By using Mawhin's continuation theorem of coincidence degree theory, we obtain sufficient conditions for the existence of positive almost periodic solutions. Also we present an example to illustrate our results.http://ejde.math.txstate.edu/Volumes/2013/157/abstr.htmlLotka-Volterra cooperative systemalmost-periodic solutioncoincidence degreedelay equation |
| spellingShingle | Kaihong Zhao Juqing Liu Existence of positive almost periodic solutions for delay Lotka-Volterra cooperative systems Electronic Journal of Differential Equations Lotka-Volterra cooperative system almost-periodic solution coincidence degree delay equation |
| title | Existence of positive almost periodic solutions for delay Lotka-Volterra cooperative systems |
| title_full | Existence of positive almost periodic solutions for delay Lotka-Volterra cooperative systems |
| title_fullStr | Existence of positive almost periodic solutions for delay Lotka-Volterra cooperative systems |
| title_full_unstemmed | Existence of positive almost periodic solutions for delay Lotka-Volterra cooperative systems |
| title_short | Existence of positive almost periodic solutions for delay Lotka-Volterra cooperative systems |
| title_sort | existence of positive almost periodic solutions for delay lotka volterra cooperative systems |
| topic | Lotka-Volterra cooperative system almost-periodic solution coincidence degree delay equation |
| url | http://ejde.math.txstate.edu/Volumes/2013/157/abstr.html |
| work_keys_str_mv | AT kaihongzhao existenceofpositivealmostperiodicsolutionsfordelaylotkavolterracooperativesystems AT juqingliu existenceofpositivealmostperiodicsolutionsfordelaylotkavolterracooperativesystems |