On dynamics of Lotka-Volterra type operators

In the present paper, we study dynamics of Lotka-Volterra (LV) type operators defined in finite dimensional simplex. We introduce a new class of LV-type operators, called MLV type. Some concrete examples are also provided. We prove that trajectories of such kind of operators converge, and moreover,...

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Main Authors: Mukhamedov, Farrukh, Saburov, Mansoor
Format: Article
Language:English
English
English
Published: School of Mathematical Sciences, Universiti Sains Malaysia 2014
Subjects:
Online Access:http://irep.iium.edu.my/33398/
http://irep.iium.edu.my/33398/1/mfms-BMMSS%282014%29.pdf
http://irep.iium.edu.my/33398/4/33398_On%20dynamics%20of%20Lotka-Volterra%20type%20operators_SCOPUS.pdf
http://irep.iium.edu.my/33398/5/33398_On%20dynamics%20of%20Lotka-Volterra%20type%20operators_WoS.pdf
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spelling iium-333982017-09-27T03:54:53Z http://irep.iium.edu.my/33398/ On dynamics of Lotka-Volterra type operators Mukhamedov, Farrukh Saburov, Mansoor QA Mathematics In the present paper, we study dynamics of Lotka-Volterra (LV) type operators defined in finite dimensional simplex. We introduce a new class of LV-type operators, called MLV type. Some concrete examples are also provided. We prove that trajectories of such kind of operators converge, and moreover, we find an estimation for fixed points of the introduced operators. School of Mathematical Sciences, Universiti Sains Malaysia 2014 Article PeerReviewed application/pdf en http://irep.iium.edu.my/33398/1/mfms-BMMSS%282014%29.pdf application/pdf en http://irep.iium.edu.my/33398/4/33398_On%20dynamics%20of%20Lotka-Volterra%20type%20operators_SCOPUS.pdf application/pdf en http://irep.iium.edu.my/33398/5/33398_On%20dynamics%20of%20Lotka-Volterra%20type%20operators_WoS.pdf Mukhamedov, Farrukh and Saburov, Mansoor (2014) On dynamics of Lotka-Volterra type operators. Bulletin of the Malaysian Mathematical Sciences Society, 37 (1). pp. 59-64. ISSN 0126-6705
repository_type Digital Repository
institution_category Local University
institution International Islamic University Malaysia
building IIUM Repository
collection Online Access
language English
English
English
topic QA Mathematics
spellingShingle QA Mathematics
Mukhamedov, Farrukh
Saburov, Mansoor
On dynamics of Lotka-Volterra type operators
description In the present paper, we study dynamics of Lotka-Volterra (LV) type operators defined in finite dimensional simplex. We introduce a new class of LV-type operators, called MLV type. Some concrete examples are also provided. We prove that trajectories of such kind of operators converge, and moreover, we find an estimation for fixed points of the introduced operators.
format Article
author Mukhamedov, Farrukh
Saburov, Mansoor
author_facet Mukhamedov, Farrukh
Saburov, Mansoor
author_sort Mukhamedov, Farrukh
title On dynamics of Lotka-Volterra type operators
title_short On dynamics of Lotka-Volterra type operators
title_full On dynamics of Lotka-Volterra type operators
title_fullStr On dynamics of Lotka-Volterra type operators
title_full_unstemmed On dynamics of Lotka-Volterra type operators
title_sort on dynamics of lotka-volterra type operators
publisher School of Mathematical Sciences, Universiti Sains Malaysia
publishDate 2014
url http://irep.iium.edu.my/33398/
http://irep.iium.edu.my/33398/1/mfms-BMMSS%282014%29.pdf
http://irep.iium.edu.my/33398/4/33398_On%20dynamics%20of%20Lotka-Volterra%20type%20operators_SCOPUS.pdf
http://irep.iium.edu.my/33398/5/33398_On%20dynamics%20of%20Lotka-Volterra%20type%20operators_WoS.pdf
first_indexed 2023-09-18T20:48:15Z
last_indexed 2023-09-18T20:48:15Z
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