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/ 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

id	iium-59919
recordtype	eprints
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
repository_type	Digital Repository
institution_category	Local University
institution	International Islamic University Malaysia
building	IIUM Repository
collection	Online Access
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/ 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
first_indexed	2023-09-18T21:24:56Z
last_indexed	2023-09-18T21:24:56Z
_version_	1777412128459718656

Stability and monotonicity of Lotka–Volterra type operators

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