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On a convex combination of Lotka–Volterra operators

We consider a convex combination of two classes of Lotka–Volterra operators defined on 2-dimensional simplex. Earlier, the dynamics of a particular case of the considered operators has been investigated. However, its bijective property was not studied. In this paper, we are able to establish that su...

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Main Authors: Mukhamedov, Farrukh, Pah, Chin Hee, Rosli, Azizi
Format: Article
Language:English
English
Published: Elsevier B.V. 2024
Subjects:
QA300 Analysis
Online Access:http://irep.iium.edu.my/111714/7/111714_On%20a%20convex%20combination%20of%20Lotka%E2%80%93Volterra%20operators.pdf
http://irep.iium.edu.my/111714/8/111714_On%20a%20convex%20combination%20of%20Lotka%E2%80%93Volterra%20operators_Scopus.pdf
http://irep.iium.edu.my/111714/
https://www.sciencedirect.com/science/article/pii/S2666657X23000356
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spelling my.iium.irep.1117142024-04-08T02:20:47Z http://irep.iium.edu.my/111714/ On a convex combination of Lotka–Volterra operators Mukhamedov, Farrukh Pah, Chin Hee Rosli, Azizi QA300 Analysis We consider a convex combination of two classes of Lotka–Volterra operators defined on 2-dimensional simplex. Earlier, the dynamics of a particular case of the considered operators has been investigated. However, its bijective property was not studied. In this paper, we are able to establish that such maps are homeomorphism of the simplex. Elsevier B.V. 2024-06 Article PeerReviewed application/pdf en http://irep.iium.edu.my/111714/7/111714_On%20a%20convex%20combination%20of%20Lotka%E2%80%93Volterra%20operators.pdf application/pdf en http://irep.iium.edu.my/111714/8/111714_On%20a%20convex%20combination%20of%20Lotka%E2%80%93Volterra%20operators_Scopus.pdf Mukhamedov, Farrukh and Pah, Chin Hee and Rosli, Azizi (2024) On a convex combination of Lotka–Volterra operators. Examples and Counterexamples, 5. E-ISSN 2666-657X https://www.sciencedirect.com/science/article/pii/S2666657X23000356 10.1016/j.exco.2023.100133
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 QA300 Analysis
spellingShingle QA300 Analysis
Mukhamedov, Farrukh
Pah, Chin Hee
Rosli, Azizi
On a convex combination of Lotka–Volterra operators
description We consider a convex combination of two classes of Lotka–Volterra operators defined on 2-dimensional simplex. Earlier, the dynamics of a particular case of the considered operators has been investigated. However, its bijective property was not studied. In this paper, we are able to establish that such maps are homeomorphism of the simplex.
format Article
author Mukhamedov, Farrukh
Pah, Chin Hee
Rosli, Azizi
author_facet Mukhamedov, Farrukh
Pah, Chin Hee
Rosli, Azizi
author_sort Mukhamedov, Farrukh
title On a convex combination of Lotka–Volterra operators
title_short On a convex combination of Lotka–Volterra operators
title_full On a convex combination of Lotka–Volterra operators
title_fullStr On a convex combination of Lotka–Volterra operators
title_full_unstemmed On a convex combination of Lotka–Volterra operators
title_sort on a convex combination of lotka–volterra operators
publisher Elsevier B.V.
publishDate 2024
url http://irep.iium.edu.my/111714/7/111714_On%20a%20convex%20combination%20of%20Lotka%E2%80%93Volterra%20operators.pdf
http://irep.iium.edu.my/111714/8/111714_On%20a%20convex%20combination%20of%20Lotka%E2%80%93Volterra%20operators_Scopus.pdf
http://irep.iium.edu.my/111714/
https://www.sciencedirect.com/science/article/pii/S2666657X23000356
_version_ 1797904210336940032
score 13.19449

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