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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...

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Main Authors: Mukhamedov, Farrukh, Saburov, Mansoor
Format: Article
Language:English
English
Published: Springer International Publishing 2017
Subjects:
QA Mathematics
Online Access: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
http://irep.iium.edu.my/59919/
https://link.springer.com/article/10.1007/s12346-016-0190-3
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spelling my.iium.irep.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 REM 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 https://link.springer.com/article/10.1007/s12346-016-0190-3 10.1007/s12346-016-0190-3
institution Universiti Islam Antarabangsa Malaysia
building IIUM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider International Islamic University Malaysia
content_source IIUM Repository (IREP)
url_provider http://irep.iium.edu.my/
language English
English
topic QA Mathematics
spellingShingle QA Mathematics
Mukhamedov, Farrukh
Saburov, Mansoor
Stability and monotonicity of Lotka–Volterra type operators
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.
format Article
author Mukhamedov, Farrukh
Saburov, Mansoor
author_facet Mukhamedov, Farrukh
Saburov, Mansoor
author_sort Mukhamedov, Farrukh
title Stability and monotonicity of Lotka–Volterra type operators
title_short 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_sort stability and monotonicity of lotka–volterra type operators
publisher Springer International Publishing
publishDate 2017
url 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
http://irep.iium.edu.my/59919/
https://link.springer.com/article/10.1007/s12346-016-0190-3
_version_ 1643615692225773568
score 13.160551

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