On a convex combination of Lotka–Volterra operators

Farrukh Mukhamedov; Chin Hee Pah; Azizi Rosli

doi:10.1016/j.exco.2023.100133

On a convex combination of Lotka–Volterra operators

Farrukh Mukhamedov, Chin Hee Pah, Azizi Rosli

Department of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Article number	100133
Journal	Examples and Counterexamples
Volume	5
DOIs	https://doi.org/10.1016/j.exco.2023.100133
Publication status	Published - Jun 2024

Keywords

Homeomorphism
Lotka–Volterra operator

ASJC Scopus subject areas

Applied Mathematics
Mathematics (miscellaneous)
Computational Mathematics

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10.1016/j.exco.2023.100133

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title = "On a convex combination of Lotka–Volterra operators",

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.",

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On a convex combination of Lotka–Volterra operators

Abstract

Keywords

ASJC Scopus subject areas

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