A class of bijective Lotka–Volterra operators and its application

Farrukh Mukhamedov; Pah Chin Hee; Azizi Rosli

doi:10.1002/mma.9088

A class of bijective Lotka–Volterra operators and its application

Farrukh Mukhamedov, Pah Chin Hee, Azizi Rosli

Department of Mathematical Sciences

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

Abstract

It is well known that any classical Lotka–Volterra (LV) operator (associated with quadratic stochastic operator) defined on the simplex is a homeomorphism. On the other hand, more general LV systems have important applications in the time evolution of conflicting species in biology. It is natural to study the bijectivity of such kind of LV operators. There is an example of a LV operator which is not injective. In this paper, we introduce a class of LV operators that are bijective. As an application of our result, the existence and uniqueness of solution of a class of Hammerstein integral equations is proved.

Original language	English
Pages (from-to)	9834-9845
Number of pages	12
Journal	Mathematical Methods in the Applied Sciences
Volume	46
Issue number	8
DOIs	https://doi.org/10.1002/mma.9088
Publication status	Published - May 30 2023

Keywords

Lotka–Volterra operator
bijective
integral equation
stochastic

ASJC Scopus subject areas

General Mathematics
General Engineering

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10.1002/mma.9088

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A class of bijective Lotka–Volterra operators and its application

Abstract

Keywords

ASJC Scopus subject areas

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