A class of bijective Lotka–Volterra operators and its application-Reference-Cited by-同舟云学术

A class of bijective Lotka–Volterra operators and its application

Published:2023-01-28 Issue:8 Volume:46 Page:9834-9845
ISSN:0170-4214
Container-title:Mathematical Methods in the Applied Sciences
language:en
Short-container-title:Math Methods in App Sciences

Author:

Mukhamedov Farrukh¹,Hee Pah Chin²,Rosli Azizi²

Affiliation:

1. Department of Mathematical Sciences, College of Science United Arab Emirates University Al Ain Abu Dhabi UAE

2. Department of Computational and Theoretical Sciences, Faculty of Science IIUM Kuantan Pahang Malaysia

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.

Funder

Ministry of Higher Education

Publisher

Wiley

Subject

General Engineering,General Mathematics

Link

https://onlinelibrary.wiley.com/doi/pdf/10.1002/mma.9088

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