On a convex combination of Lotka–Volterra operators

Farrukh Mukhamedov; Chin Hee Pah; Azizi Rosli

Examples and Counterexamples (Jun 2024)

On a convex combination of Lotka–Volterra operators

Farrukh Mukhamedov,
Chin Hee Pah,
Azizi Rosli

Affiliations

Farrukh Mukhamedov: Department of Mathematical Sciences, College of Science, United Arab Emirates University, P.O. Box 15551, Al Ain, Abu Dhabi, United Arab Emirates; Corresponding author.
Chin Hee Pah: Department of Computational and Theoretical Sciences, Faculty of Science, IIUM, P.O. Box 141, 25710 Kuantan, Pahang, Malaysia
Azizi Rosli: Department of Computational and Theoretical Sciences, Faculty of Science, IIUM, P.O. Box 141, 25710 Kuantan, Pahang, Malaysia

Journal volume & issue: Vol. 5
p. 100133

Abstract

Read online

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.

Published in Examples and Counterexamples

ISSN: 2666-657X (Online)
Publisher: Elsevier
Country of publisher: Netherlands
LCC subjects: Science: Mathematics
Website: https://www.journals.elsevier.com/examples-and-counterexamples

About the journal

Abstract

Keywords