Stability and monotonicity of Lotka–Volterra type operators
In the present paper,we investigate stability of trajectories ofLotka–Volterra (LV) type operators defined in finite dimensional simplex.We prove that any LV type operator is a surjection of the simplex. It is introduced a newclass of LV-type operators, called MLV type ones, and we show that trajec...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English English |
| Published: |
Springer International Publishing
2017
|
| Subjects: | |
| Online Access: | http://irep.iium.edu.my/59919/ http://irep.iium.edu.my/59919/1/LV-Operator%20---%20QTDS.pdf http://irep.iium.edu.my/59919/7/Stability%20and%20Monotonicity%20of%20Lotka%E2%80%93Volterra%20Type%20Operators.pdf |
| _version_ | 1848785400431116288 |
|---|---|
| author | Mukhamedov, Farrukh Saburov, Mansoor |
| author_facet | Mukhamedov, Farrukh Saburov, Mansoor |
| author_sort | Mukhamedov, Farrukh |
| building | IIUM Repository |
| collection | Online Access |
| description | In the present paper,we investigate stability of trajectories ofLotka–Volterra (LV) type operators defined in finite dimensional simplex.We prove that any LV type
operator is a surjection of the simplex. It is introduced a newclass of LV-type operators, called MLV type ones, and we show that trajectories of the introduced operators converge. Moreover, we show that such kind of operators have totally different behavior than f-monotone LV type operators. |
| first_indexed | 2025-11-14T16:52:32Z |
| format | Article |
| id | iium-59919 |
| institution | International Islamic University Malaysia |
| institution_category | Local University |
| language | English English |
| last_indexed | 2025-11-14T16:52:32Z |
| publishDate | 2017 |
| publisher | Springer International Publishing |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | iium-599192018-01-23T06:28:51Z http://irep.iium.edu.my/59919/ Stability and monotonicity of Lotka–Volterra type operators Mukhamedov, Farrukh Saburov, Mansoor QA Mathematics In the present paper,we investigate stability of trajectories ofLotka–Volterra (LV) type operators defined in finite dimensional simplex.We prove that any LV type operator is a surjection of the simplex. It is introduced a newclass of LV-type operators, called MLV type ones, and we show that trajectories of the introduced operators converge. Moreover, we show that such kind of operators have totally different behavior than f-monotone LV type operators. Springer International Publishing 2017-07 Article PeerReviewed application/pdf en http://irep.iium.edu.my/59919/1/LV-Operator%20---%20QTDS.pdf application/pdf en http://irep.iium.edu.my/59919/7/Stability%20and%20Monotonicity%20of%20Lotka%E2%80%93Volterra%20Type%20Operators.pdf Mukhamedov, Farrukh and Saburov, Mansoor (2017) Stability and monotonicity of Lotka–Volterra type operators. Qualitative Theory of Dynamical Systems, 16 (2). pp. 249-267. ISSN 1575-5460 E-ISSN 1662-3592 https://link.springer.com/article/10.1007/s12346-016-0190-3 10.1007/s12346-016-0190-3 |
| spellingShingle | QA Mathematics Mukhamedov, Farrukh Saburov, Mansoor Stability and monotonicity of Lotka–Volterra type operators |
| title | Stability and monotonicity of Lotka–Volterra type operators |
| title_full | Stability and monotonicity of Lotka–Volterra type operators |
| title_fullStr | Stability and monotonicity of Lotka–Volterra type operators |
| title_full_unstemmed | Stability and monotonicity of Lotka–Volterra type operators |
| title_short | Stability and monotonicity of Lotka–Volterra type operators |
| title_sort | stability and monotonicity of lotka–volterra type operators |
| topic | QA Mathematics |
| url | http://irep.iium.edu.my/59919/ http://irep.iium.edu.my/59919/ http://irep.iium.edu.my/59919/ http://irep.iium.edu.my/59919/1/LV-Operator%20---%20QTDS.pdf http://irep.iium.edu.my/59919/7/Stability%20and%20Monotonicity%20of%20Lotka%E2%80%93Volterra%20Type%20Operators.pdf |