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On a convex combination of Lotka–Volterra operators

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

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Abstract

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.

Item Type: Article (Journal)
Additional Information: 5826/111714
Uncontrolled Keywords: Lotka–Volterra operator, Homeomorphism
Subjects: Q Science > QA Mathematics > QA300 Analysis
Kulliyyahs/Centres/Divisions/Institutes (Can select more than one option. Press CONTROL button): Kulliyyah of Science
Kulliyyah of Science > Department of Computational and Theoretical Sciences
Depositing User: DR. CHIN HEE PAH
Date Deposited: 08 Apr 2024 10:20
Last Modified: 08 Apr 2024 10:20
URI: http://irep.iium.edu.my/id/eprint/111714

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